Udemy - Linear Algebra and Geometry 1

Creation Time	April 26, 2024, 9:52 a.m.
Last Access Time	Nov. 17, 2024, 5:35 p.m.
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Keywords	and Linear Algebra Geometry - Udemy 1
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Total Files	499
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10 Determinants/015 Evaluating determinants by cofactor expansion along rows or columns.mp4 620.2 MB
05 Some applications in mathematics and natural sciences/005 Solving systems of linear equations (Calculus) Problem 4.mp4 572.2 MB
04 Solving systems of linear equations; Gaussian elimination/023 Gauss–Jordan elimination, Problem 13.mp4 566.8 MB
04 Solving systems of linear equations; Gaussian elimination/009 Gaussian elimination, Problem 3.mp4 558.3 MB
04 Solving systems of linear equations; Gaussian elimination/022 Gauss–Jordan elimination, Problem 12.mp4 520.5 MB
05 Some applications in mathematics and natural sciences/004 Solving systems of linear equations (Calculus) Problem 3.mp4 513.7 MB
09 Linear systems and matrices/004 Determining consistency by elimination, Problem 2.mp4 465.2 MB
04 Solving systems of linear equations; Gaussian elimination/017 General formulation of the algorithm in Gauss–Jordan elimination.mp4 458.1 MB
10 Determinants/033 Problem 14_ Vandermonde determinant.mp4 456.4 MB
08 Elementary matrices and a method for finding A inverse/008 Matrix equations, Problem 6.mp4 437.6 MB
04 Solving systems of linear equations; Gaussian elimination/021 Gauss–Jordan elimination, Problem 11.mp4 406.5 MB
08 Elementary matrices and a method for finding A inverse/001 Inverse matrices, introduction to the algorithm.mp4 406.3 MB
04 Solving systems of linear equations; Gaussian elimination/016 How to read solutions from REF and RREF matrices_.mp4 402.6 MB
08 Elementary matrices and a method for finding A inverse/009 Matrix inverse, Problem 7.mp4 387.1 MB
04 Solving systems of linear equations; Gaussian elimination/010 Gaussian elimination, Problem 4.mp4 376.4 MB
09 Linear systems and matrices/001 Formally about the number of solutions to systems of linear equations.mp4 348.6 MB
07 Inverses; Algebraic properties of matrices/012 Solving matrix equations, Problem 2.mp4 343.3 MB
08 Elementary matrices and a method for finding A inverse/007 Matrix equations, Problem 5.mp4 341.8 MB
10 Determinants/013 Sarrus’ rule for 3-by-3 determinants.mp4 338.9 MB
09 Linear systems and matrices/003 Solution of a linear system using A inverse, Problem 1.mp4 334.9 MB
10 Determinants/025 Invertible matrices, determinant test with a proof, Problem 8.mp4 331.9 MB
04 Solving systems of linear equations; Gaussian elimination/012 Gaussian elimination, Problem 6.mp4 315.3 MB
04 Solving systems of linear equations; Gaussian elimination/018 Gauss–Jordan elimination, Problem 8.mp4 312.7 MB
04 Solving systems of linear equations; Gaussian elimination/011 Gaussian elimination, Problem 5.mp4 312.4 MB
07 Inverses; Algebraic properties of matrices/006 Sometimes commutativity happens, Problem 1.mp4 309.5 MB
10 Determinants/022 Determinant equations, Problem 5.mp4 302.0 MB
08 Elementary matrices and a method for finding A inverse/003 Matrix inverse, Problem 1.mp4 289.4 MB
06 Matrices and matrix operations/013 Various matrix operations, Problem 8.mp4 287.2 MB
07 Inverses; Algebraic properties of matrices/004 Matrix multiplication is associative.mp4 282.4 MB
09 Linear systems and matrices/005 Matrix equations, Problem 3.mp4 278.2 MB
05 Some applications in mathematics and natural sciences/006 Problem 5 (Chemistry).mp4 277.3 MB
05 Some applications in mathematics and natural sciences/007 Problem 6 (Electrical circuits).mp4 270.6 MB
10 Determinants/031 Problem 12, another large determinant.mp4 268.0 MB
04 Solving systems of linear equations; Gaussian elimination/007 How to write the augmented matrix for a given system of equations, Problem 1.mp4 258.0 MB
08 Elementary matrices and a method for finding A inverse/005 Matrix equations, Problem 3.mp4 250.4 MB
10 Determinants/007 Conclusion 2_ What happens when one column is a linear combination of others.mp4 248.5 MB
06 Matrices and matrix operations/012 Various matrix operations, Problem 7.mp4 238.8 MB
10 Determinants/027 Cramer’s rule, Problem 9.mp4 231.8 MB
07 Inverses; Algebraic properties of matrices/017 Various rules, Problem 3.mp4 223.4 MB
10 Determinants/010 Elementary column operations.mp4 208.1 MB
10 Determinants/026 Cramer’s rule, a proof, an example, and a geometrical interpretation.mp4 206.7 MB
05 Some applications in mathematics and natural sciences/003 Solving systems of linear equations (Calculus) Problem 2.mp4 206.2 MB
08 Elementary matrices and a method for finding A inverse/004 Matrix inverse, Problem 2.mp4 204.7 MB
10 Determinants/032 Problem 13_ a trigonometric determinant.mp4 203.0 MB
10 Determinants/028 Inverse matrix, an explicit formula.mp4 199.9 MB
04 Solving systems of linear equations; Gaussian elimination/019 Gauss–Jordan elimination, Problem 9.mp4 192.0 MB
10 Determinants/020 Properties of determinants, Problem 3.mp4 190.4 MB
04 Solving systems of linear equations; Gaussian elimination/001 Our earlier problem revisited; an algebraical solution.mp4 182.3 MB
10 Determinants/029 Invertible matrices, Problem 10.mp4 180.1 MB
04 Solving systems of linear equations; Gaussian elimination/015 Preparation to the general formulation of the algorithm; REF and RREF matrices.mp4 178.1 MB
10 Determinants/021 Determinant equations, Problem 4.mp4 175.6 MB
11 Vectors in 2-space, 3-space, and n-space/003 Computations with vectors, Problem 1.mp4 172.3 MB
02 Some basic concepts/007 Linear combinations.mp4 165.5 MB
07 Inverses; Algebraic properties of matrices/007 Two distributive laws.mp4 163.7 MB
10 Determinants/016 Evaluating determinants by row or column reduction.mp4 156.5 MB
08 Elementary matrices and a method for finding A inverse/006 Matrix equations, Problem 4.mp4 155.9 MB
01 Introduction to the course/001 Introduction.mp4 153.3 MB
08 Elementary matrices and a method for finding A inverse/013 Four equivalent statements.mp4 148.2 MB
04 Solving systems of linear equations; Gaussian elimination/008 How to write system of equations to a given augmented matrix, Problem 2.mp4 148.1 MB
05 Some applications in mathematics and natural sciences/002 Solving systems of linear equations (Calculus) Problem 1.mp4 144.0 MB
11 Vectors in 2-space, 3-space, and n-space/006 Parallel vectors, Problem 4.mp4 143.2 MB
07 Inverses; Algebraic properties of matrices/014 Computation rules for transposed matrices.mp4 139.4 MB
09 Linear systems and matrices/002 Two more statements in our important theorem.mp4 136.7 MB
11 Vectors in 2-space, 3-space, and n-space/004 Computations with vectors, Problem 2.mp4 131.8 MB
07 Inverses; Algebraic properties of matrices/011 Inverse matrix for 2-by-2 matrices; non-zero determinant.mp4 129.3 MB
10 Determinants/019 Properties of determinants, Problem 2.mp4 124.1 MB
02 Some basic concepts/009 Linear transformations.mp4 123.6 MB
04 Solving systems of linear equations; Gaussian elimination/014 Gaussian elimination, Problem 7.mp4 123.0 MB
02 Some basic concepts/001 Coordinate systems and coordinates in the plane and in the 3-space.mp4 122.6 MB
07 Inverses; Algebraic properties of matrices/003 Matrix multiplication has a neutral element for square matrices.mp4 119.8 MB
07 Inverses; Algebraic properties of matrices/015 Supplement to Video 83; Inverse of a product.mp4 118.6 MB
04 Solving systems of linear equations; Gaussian elimination/020 Gaussian elimination, Problem 10.mp4 112.2 MB
06 Matrices and matrix operations/006 Matrix multiplication, with geometrical interpretation.mp4 110.6 MB
11 Vectors in 2-space, 3-space, and n-space/002 Computation rules for vector addition and scaling.mp4 108.5 MB
11 Vectors in 2-space, 3-space, and n-space/005 Computations with vectors, Problem 3.mp4 105.2 MB
10 Determinants/003 Geometrical interpretations of determinants.mp4 104.8 MB
10 Determinants/005 Definition of determinants.mp4 102.0 MB
10 Determinants/018 Properties of determinants, Problem 1.mp4 101.0 MB
11 Vectors in 2-space, 3-space, and n-space/007 Parallel vectors, Problem 5.mp4 100.0 MB
05 Some applications in mathematics and natural sciences/001 Solving systems of linear equations in Linear Algebra and Geometry.mp4 94.1 MB
10 Determinants/012 How to compute 3-by-3 determinants from the definition.mp4 82.4 MB
10 Determinants/014 Determinant of transposed matrix; row operations.mp4 76.3 MB
06 Matrices and matrix operations/010 Transposed matrix, definition and some examples.mp4 75.8 MB
10 Determinants/008 Conclusion 3_ About adding a multiple of a column to another column.mp4 72.2 MB
08 Elementary matrices and a method for finding A inverse/010 Elementary operations and elementary matrices.mp4 71.6 MB
04 Solving systems of linear equations; Gaussian elimination/002 Three elementary operations.mp4 70.8 MB
02 Some basic concepts/002 Slope-intercept equations of straight lines in the plane.mp4 70.4 MB
10 Determinants/004 Geometrically about the determinant of a product.mp4 68.7 MB
07 Inverses; Algebraic properties of matrices/010 Inverse matrices; not all non-zero square matrices have an inverse.mp4 68.6 MB
10 Determinants/001 Why the determinants are important.mp4 68.5 MB
08 Elementary matrices and a method for finding A inverse/012 A really important theorem.mp4 67.1 MB
04 Solving systems of linear equations; Gaussian elimination/006 The same example solved with matrix operations; coefficient matrix and augmented.mp4 66.8 MB
02 Some basic concepts/012 Pythagorean Theorem and distance between points.mp4 66.6 MB
02 Some basic concepts/003 Normal equations of planes in the 3-space.mp4 63.9 MB
02 Some basic concepts/006 Vector addition and vector scaling.mp4 63.5 MB
03 Systems of linear equations; building up your geometrical intuition/003 Linear and non-linear equations.mp4 63.3 MB
02 Some basic concepts/010 Matrix—vector multiplication.mp4 60.1 MB
02 Some basic concepts/011 Rules for computations with real numbers.mp4 59.5 MB
03 Systems of linear equations; building up your geometrical intuition/002 Solution set.mp4 58.5 MB
08 Elementary matrices and a method for finding A inverse/002 Algorithm for inverse matrices, an example.mp4 57.5 MB
06 Matrices and matrix operations/005 Matrix scaling, Problem 2.mp4 57.2 MB
10 Determinants/011 How to compute 2-by-2 determinants from the definition.mp4 56.5 MB
02 Some basic concepts/004 Vectors.mp4 56.2 MB
11 Vectors in 2-space, 3-space, and n-space/001 Vectors, a repetition.mp4 55.3 MB
06 Matrices and matrix operations/001 Introduction to matrices.mp4 55.1 MB
02 Some basic concepts/014 Cosine Rule.mp4 55.0 MB
10 Determinants/006 Conclusion 1_ Determinant of matrices with interchanged columns.mp4 54.8 MB
03 Systems of linear equations; building up your geometrical intuition/005 Solution sets of systems of linear equations.mp4 54.2 MB
03 Systems of linear equations; building up your geometrical intuition/009 Possible solution sets of 3 × 3 systems of linear equations.mp4 52.6 MB
06 Matrices and matrix operations/002 Different types of matrices.mp4 51.5 MB
06 Matrices and matrix operations/009 Matrix multiplication and systems of equations, Problem 4.mp4 50.0 MB
02 Some basic concepts/005 Scalars.mp4 48.2 MB
10 Determinants/002 2-by-2 determinants; notation for n-by-n determinants.mp4 47.9 MB
04 Solving systems of linear equations; Gaussian elimination/003 What is Gauss—Jordan elimination and Gaussian elimination_.mp4 47.9 MB
07 Inverses; Algebraic properties of matrices/005 Matrix multiplication is not commutative.mp4 43.9 MB
10 Determinants/030 Problem 11, a large determinant.mp4 43.1 MB
10 Determinants/009 Conclusion 4_ Determinant of kA for any k ∈ R.mp4 43.0 MB
03 Systems of linear equations; building up your geometrical intuition/007 Possible solution sets of 2 × 2 systems of linear equations.mp4 42.6 MB
07 Inverses; Algebraic properties of matrices/001 Properties of matrix operations, an introduction.mp4 41.7 MB
02 Some basic concepts/008 Matrices.mp4 41.7 MB
06 Matrices and matrix operations/007 Matrix multiplication, how to do.mp4 41.6 MB
03 Systems of linear equations; building up your geometrical intuition/011 Possible solution sets of m × n systems of linear equations.mp4 40.9 MB
04 Solving systems of linear equations; Gaussian elimination/004 Gauss—Jordan elimination, a 2-by-2 system with unique solution.mp4 38.7 MB
03 Systems of linear equations; building up your geometrical intuition/008 Possible solution sets of 3 × 2 systems of linear equations.mp4 37.6 MB
10 Determinants/023 Determinant equations, Problem 6.mp4 37.0 MB
04 Solving systems of linear equations; Gaussian elimination/013 What happens if the system is inconsistent_.mp4 36.3 MB
06 Matrices and matrix operations/008 Matrix multiplication, Problem 3.mp4 35.3 MB
08 Elementary matrices and a method for finding A inverse/011 Inverse elementary operations and their matrices.mp4 35.0 MB
01 Introduction to the course/001 Slides Introduction to the course.pdf 34.8 MB
03 Systems of linear equations; building up your geometrical intuition/001 Different ways of looking at equations.mp4 33.6 MB
06 Matrices and matrix operations/004 Matrix scaling, with geometrical interpretation.mp4 33.0 MB
07 Inverses; Algebraic properties of matrices/002 Matrix addition has all the good properties.mp4 32.1 MB
02 Some basic concepts/013 Sine, cosine, and pythagorean identity.mp4 31.8 MB
10 Determinants/017 Determinant of inverse.mp4 31.7 MB
03 Systems of linear equations; building up your geometrical intuition/006 An example of a 2 × 2 system of linear equations, a graphical solution.mp4 31.2 MB
04 Solving systems of linear equations; Gaussian elimination/005 The same example solved with Gaussian elimination and back-substitution.mp4 30.1 MB
10 Determinants/024 Determinant equations, Problem 7.mp4 29.8 MB
06 Matrices and matrix operations/003 Matrix addition and subtraction, Problem 1.mp4 27.2 MB
03 Systems of linear equations; building up your geometrical intuition/004 Systems of linear equations.mp4 27.0 MB
07 Inverses; Algebraic properties of matrices/009 There is no cancellation law for matrix multiplication.mp4 26.9 MB
07 Inverses; Algebraic properties of matrices/016 Inverse of a transposed matrix.mp4 26.8 MB
03 Systems of linear equations; building up your geometrical intuition/010 Possible solution sets of 2 × 3 systems of linear equations.mp4 22.5 MB
06 Matrices and matrix operations/011 Trace of a matrix, definition and an example.mp4 20.2 MB
07 Inverses; Algebraic properties of matrices/013 Powers of matrices; powers of diagonal matrices.mp4 19.2 MB
07 Inverses; Algebraic properties of matrices/008 Matrix multiplication does not have the zero-product property.mp4 17.5 MB
10 Determinants/109 Slides Definition of determinants.pdf 5.2 MB
02 Some basic concepts/009 Slides Matrices.pdf 4.8 MB
07 Inverses; Algebraic properties of matrices/078 Slides There is no cancellation law for matrix multiplication.pdf 3.9 MB
10 Determinants/111 Slides Conclusion 2 What happens when one column is a linear combination of the other columns.pdf 3.8 MB
10 Determinants/107 Slides Geometrical interpretations of determinants.pdf 3.4 MB
08 Elementary matrices and a method for finding A inverse/088 Slides Algorithm for inverse matrices An example.pdf 3.3 MB
08 Elementary matrices and a method for finding A inverse/097 Slides Inverse elementary operations and their matrices.pdf 3.3 MB
10 Determinants/119 Notes Cofactor expansion along columns or rows.pdf 3.0 MB
10 Determinants/110 Slides Conclusion 1 Determinant of matrices with interchanged columns.pdf 2.9 MB
10 Determinants/132 Slides Inverse matrix An explicit formula.pdf 2.8 MB
10 Determinants/119 Slides Cofactor expansion along columns or rows.pdf 2.7 MB
05 Some applications in mathematics and natural sciences/054 Notes Problem 4 Calculus.pdf 2.5 MB
10 Determinants/122 Slides Properties of determinants Problem 1.pdf 2.5 MB
03 Systems of linear equations; building up your geometrical intuition/017 Slides Solution set.pdf 2.5 MB
06 Matrices and matrix operations/062 Slides Matrix multiplication with geometrical interpretation.pdf 2.5 MB
04 Solving systems of linear equations; Gaussian elimination/048 Notes Gaussian elimination Problem 12.pdf 2.4 MB
10 Determinants/137 Notes Problem 14 Vandermonde determinant.pdf 2.4 MB
10 Determinants/124 Slides Properties of determinants Problem 3.pdf 2.3 MB
03 Systems of linear equations; building up your geometrical intuition/024 Slides Possible solution sets of 3 by 3 systems of linear equations.pdf 2.3 MB
09 Linear systems and matrices/103 Notes Determining consistency by elimination Problem 2.pdf 2.3 MB
04 Solving systems of linear equations; Gaussian elimination/049 Notes Gauss Jordan elimination Problem 13.pdf 2.2 MB
10 Determinants/116 Slides How to compute 3 by 3 determinants from the definition.pdf 2.2 MB
02 Some basic concepts/010 Slides Linear transformations.pdf 2.2 MB
05 Some applications in mathematics and natural sciences/053 Notes Problem 3 Calculus.pdf 2.1 MB
03 Systems of linear equations; building up your geometrical intuition/019 Slides Systems of linear equations.pdf 2.1 MB
04 Solving systems of linear equations; Gaussian elimination/047 Notes Gauss Jordan elimination Problem 11.pdf 2.1 MB
04 Solving systems of linear equations; Gaussian elimination/035 Notes Gaussian elimination Problem 3.pdf 2.1 MB
06 Matrices and matrix operations/064 Slides Matrix multiplication Problem 3.pdf 2.1 MB
10 Determinants/108 Slides Geometrically about the determinant of a product.pdf 2.1 MB
04 Solving systems of linear equations; Gaussian elimination/032 Slides The same example solved with matrix operations Coefficient matrix and augmented matrix.pdf 2.0 MB
08 Elementary matrices and a method for finding A inverse/099 Slides Four equivalent statements.pdf 2.0 MB
10 Determinants/129 Slides Invertible matrices Determinant test with a proof Problem 8.pdf 2.0 MB
07 Inverses; Algebraic properties of matrices/080 Slides Inverse matrix for 2-by-2 matrices Non-zero determinant.pdf 1.9 MB
07 Inverses; Algebraic properties of matrices/081 Slides Solving matrix equations Problem 2.pdf 1.9 MB
04 Solving systems of linear equations; Gaussian elimination/043 Notes General formulation of the algorithm in Gauss Jordan elimination.pdf 1.9 MB
04 Solving systems of linear equations; Gaussian elimination/036 Notes Gaussian elimination Problem 4.pdf 1.9 MB
06 Matrices and matrix operations/063 Slides Matrix multiplication how to do.pdf 1.9 MB
08 Elementary matrices and a method for finding A inverse/094 Notes Matrix equations Problem 6.pdf 1.8 MB
10 Determinants/113 Slides Conclusion 4 Determinant of kA for any real k.pdf 1.8 MB
08 Elementary matrices and a method for finding A inverse/091 Slides Matrix equations Problem 3.pdf 1.8 MB
08 Elementary matrices and a method for finding A inverse/092 Slides Matrix equations Problem 4.pdf 1.8 MB
04 Solving systems of linear equations; Gaussian elimination/041 Slides Preparation to the general formulation of the algorithm REF and RREF matrices.pdf 1.8 MB
09 Linear systems and matrices/100 Notes Formally about the number of solutions to systems of linear equations.pdf 1.8 MB
07 Inverses; Algebraic properties of matrices/073 Slides Matrix multiplication is associative.pdf 1.7 MB
10 Determinants/123 Slides Properties of determinants Problem 2.pdf 1.7 MB
04 Solving systems of linear equations; Gaussian elimination/042 Notes How to read solutions from REF and RREF matrices.pdf 1.7 MB
08 Elementary matrices and a method for finding A inverse/095 Notes Matrix inverse Problem 7.pdf 1.7 MB
06 Matrices and matrix operations/057 Slides Introduction to matrices.pdf 1.7 MB
10 Determinants/118 Slides Determinant of transposed matrix Row operations.pdf 1.7 MB
07 Inverses; Algebraic properties of matrices/074 Slides Matrix multiplication is not commutative.pdf 1.6 MB
10 Determinants/130 Slides Cramers rule Proof Example Geometrical interpretation.pdf 1.6 MB
02 Some basic concepts/003 Slides Slope intercept equations of lines in the plane.pdf 1.5 MB
10 Determinants/137 Article-Solved-Problems-Determinants.pdf 1.5 MB
04 Solving systems of linear equations; Gaussian elimination/044 Notes Gauss Jordan elimination Problem 8.pdf 1.5 MB
08 Elementary matrices and a method for finding A inverse/096 Slides Elementary operations and elementary matrices.pdf 1.5 MB
08 Elementary matrices and a method for finding A inverse/087 Notes Inverse matrices Introduction to the algorithm.pdf 1.5 MB
07 Inverses; Algebraic properties of matrices/075 Notes Sometimes commutativity happens Problem 1.pdf 1.4 MB
08 Elementary matrices and a method for finding A inverse/089 Notes Matrix inverse Problem 1.pdf 1.4 MB
05 Some applications in mathematics and natural sciences/055 Notes Problem 5 Chemistry.pdf 1.4 MB
09 Linear systems and matrices/102 Notes Solution of a linear system using A inverse Problem 1.pdf 1.4 MB
10 Determinants/120 Slides Evaluating determinants by row or column reduction.pdf 1.4 MB
07 Inverses; Algebraic properties of matrices/081 Notes Solving matrix equations Problem 2.pdf 1.4 MB
04 Solving systems of linear equations; Gaussian elimination/037 Notes Gaussian elimination Problem 5.pdf 1.3 MB
05 Some applications in mathematics and natural sciences/056 Notes Problem 6 Electrical circuits.pdf 1.3 MB
10 Determinants/111 Notes Conclusion 2 What happens when one column is a linear combination of the other columns.pdf 1.3 MB
03 Systems of linear equations; building up your geometrical intuition/020 Slides Solution sets of systems of linear equations.pdf 1.3 MB
10 Determinants/126 Notes Determinant equations Problem 5.pdf 1.3 MB
10 Determinants/135 Notes Problem 12 Another large determinant.pdf 1.3 MB
06 Matrices and matrix operations/069 Notes Various matrix operations Problem 8.pdf 1.3 MB
06 Matrices and matrix operations/065 Slides Matrix multiplication and systems of equations Problem 4.pdf 1.3 MB
04 Solving systems of linear equations; Gaussian elimination/038 Notes Gaussian elimination Problem 6.pdf 1.2 MB
08 Elementary matrices and a method for finding A inverse/093 Notes Matrix equations Problem 5.pdf 1.2 MB
10 Determinants/121 Slides Determinant of inverse.pdf 1.2 MB
10 Determinants/136 Notes Problem 13 A trigonometric determinant.pdf 1.2 MB
04 Solving systems of linear equations; Gaussian elimination/029 Slides What is Gauss Jordan and Gaussian elimination.pdf 1.2 MB
10 Determinants/131 Notes Cramers rule, Problem 9.pdf 1.2 MB
02 Some basic concepts/011 Slides Matrix vector multiplication.pdf 1.2 MB
10 Determinants/134 Slides Problem 11 A large determinant.pdf 1.2 MB
02 Some basic concepts/008 Slides Linear combinations.pdf 1.2 MB
08 Elementary matrices and a method for finding A inverse/091 Notes Matrix equations Problem 3.pdf 1.2 MB
06 Matrices and matrix operations/060 Slides Matrix scaling with geometrical interpretation.pdf 1.1 MB
05 Some applications in mathematics and natural sciences/052 Notes Problem 2 Calculus.pdf 1.1 MB
10 Determinants/131 Slides Cramers rule, Problem 9.pdf 1.1 MB
10 Determinants/137 Slides Problem 14 Vandermonde determinant.pdf 1.1 MB
07 Inverses; Algebraic properties of matrices/073 Notes Matrix multiplication is associative.pdf 1.1 MB
10 Determinants/115 Slides How to compute 2 by 2 determinants from the definition.pdf 1.1 MB
04 Solving systems of linear equations; Gaussian elimination/031 Slides The same example solved with Gaussian elimination and back-substitution.pdf 1.0 MB
01 Introduction to the course/001 Outline_Linear_Algebra_and_Geometry_1.pdf 1.0 MB
03 Systems of linear equations; building up your geometrical intuition/026 Slides Possible solution sets of m by n systems of linear equations.pdf 1.0 MB
04 Solving systems of linear equations; Gaussian elimination/045 Notes Gauss Jordan elimination Problem 9.pdf 1.0 MB
10 Determinants/133 Notes Inverse matrix An explicit formula Problem 10.pdf 1.0 MB
04 Solving systems of linear equations; Gaussian elimination/042 Slides How to read solutions from REF and RREF matrices.pdf 1.0 MB
10 Determinants/129 Notes Invertible matrices Determinant test with a proof Problem 8.pdf 1.0 MB
10 Determinants/133 Slides Inverse matrix An explicit formula Problem 10.pdf 1007.7 KB
02 Some basic concepts/002 Slides Coordinate systems and coordinates.pdf 996.1 KB
03 Systems of linear equations; building up your geometrical intuition/022 Slides Possible solution sets of 2 by 2 systems of linear equations.pdf 984.7 KB
07 Inverses; Algebraic properties of matrices/086 Notes Various rules Problem 3.pdf 970.8 KB
10 Determinants/120 Notes Evaluating determinants by row or column reduction.pdf 960.0 KB
02 Some basic concepts/005 Slides Vectors.pdf 952.4 KB
09 Linear systems and matrices/104 Notes Matrix equations Problem 3.pdf 949.4 KB
06 Matrices and matrix operations/059 Slides Matrix addition and subtraction Problem 1.pdf 917.8 KB
04 Solving systems of linear equations; Gaussian elimination/028 Slides Three elementary operations.pdf 910.6 KB
04 Solving systems of linear equations; Gaussian elimination/043 Slides General formulation of the algorithm in Gauss Jordan elimination.pdf 906.8 KB
06 Matrices and matrix operations/068 Notes Various matrix operations Problem 7.pdf 900.5 KB
10 Determinants/114 Notes Elementary column operations.pdf 888.2 KB
10 Determinants/117 Notes Sarrus method for 3 by 3 determinants.pdf 848.0 KB
09 Linear systems and matrices/102 Slides Solution of a linear system using A inverse Problem 1.pdf 825.5 KB
10 Determinants/123 Notes Properties of determinants Problem 2.pdf 795.3 KB
10 Determinants/124 Notes Properties of determinants Problem 3.pdf 794.4 KB
10 Determinants/114 Slides Elementary column operations.pdf 794.0 KB
10 Determinants/130 Notes Cramers rule Proof Example Geometrical interpretation.pdf 791.8 KB
04 Solving systems of linear equations; Gaussian elimination/033 Notes How to write the augmented matrix for a given system of equations Problem 1.pdf 776.3 KB
06 Matrices and matrix operations/067 Slides Trace of a matrix Definition and an example.pdf 751.2 KB
04 Solving systems of linear equations; Gaussian elimination/027 Notes An example of a 2 by 2 system of linear equations An algebraical solution.pdf 747.2 KB
08 Elementary matrices and a method for finding A inverse/092 Notes Matrix equations Problem 4.pdf 744.7 KB
06 Matrices and matrix operations/066 Slides Transposed matrix Definition and some examples.pdf 744.4 KB
10 Determinants/117 Slides Sarrus method for 3 by 3 determinants.pdf 742.2 KB
10 Determinants/105 Slides Why the determinants are important.pdf 736.7 KB
10 Determinants/112 Slides Conclusion 3 About adding a multiple of a column to another column.pdf 733.7 KB
10 Determinants/128 Slides Determinant equations Problem 7.pdf 723.4 KB
09 Linear systems and matrices/103 Slides Determining consistency by elimination Problem 2.pdf 721.3 KB
09 Linear systems and matrices/100 Slides Formally about the number of solutions to systems of linear equations.pdf 720.4 KB
09 Linear systems and matrices/101 Notes Two more statements in our important theorem.pdf 715.8 KB
07 Inverses; Algebraic properties of matrices/071 Slides Matrix addition has all the good properties.pdf 711.5 KB
09 Linear systems and matrices/101 Slides Two more statements in our important theorem.pdf 708.5 KB
02 Some basic concepts/013 Slides Pythagorean Theorem and distance between points.pdf 689.5 KB
10 Determinants/132 Notes Inverse matrix An explicit formula.pdf 688.6 KB
07 Inverses; Algebraic properties of matrices/083 Notes Computation rules for transposed matrices.pdf 686.0 KB
02 Some basic concepts/015 Slides Cosine Rule.pdf 684.8 KB
05 Some applications in mathematics and natural sciences/051 Notes Problem 1 Calculus.pdf 668.4 KB
07 Inverses; Algebraic properties of matrices/082 Slides Powers of matrices Powers of diagonal matrices.pdf 668.3 KB
08 Elementary matrices and a method for finding A inverse/090 Notes Matrix inverse Problem 2.pdf 658.9 KB
10 Determinants/122 Notes Properties of determinants Problem 1.pdf 650.7 KB
08 Elementary matrices and a method for finding A inverse/098 Slides A really important theorem.pdf 648.6 KB
02 Some basic concepts/004 Slides Normal equations of planes in the 3-space.pdf 641.9 KB
08 Elementary matrices and a method for finding A inverse/099 Notes Four equivalent statements.pdf 640.5 KB
02 Some basic concepts/014 Slides Sine cosine and pythagorean identity.pdf 632.8 KB
07 Inverses; Algebraic properties of matrices/076 Notes Two distributive laws.pdf 632.1 KB
07 Inverses; Algebraic properties of matrices/086 Slides Various rules Problem 3.pdf 620.2 KB
02 Some basic concepts/008 Notes Linear combinations.pdf 606.3 KB
06 Matrices and matrix operations/069 Slides Various matrix operations Problem 8.pdf 600.9 KB
07 Inverses; Algebraic properties of matrices/072 Notes Matrix multiplication has a neutral element for square matrices.pdf 587.2 KB
07 Inverses; Algebraic properties of matrices/084 Slides Supplement to Video 83 Inverse of a product.pdf 572.5 KB
04 Solving systems of linear equations; Gaussian elimination/041 Notes Preparation to the general formulation of the algorithm REF and RREF matrices.pdf 569.8 KB
10 Determinants/106 Slides 2-by-2 determinants Notation for n by n determinants.pdf 562.9 KB
04 Solving systems of linear equations; Gaussian elimination/040 Notes Gaussian elimination Problem 7.pdf 559.8 KB
10 Determinants/125 Notes Determinant equations Problem 4.pdf 547.6 KB
10 Determinants/112 Notes Conclusion 3 About adding a multiple of a column to another column.pdf 546.4 KB
04 Solving systems of linear equations; Gaussian elimination/046 Notes Gauss Jordan elimination Problem 10.pdf 537.1 KB
04 Solving systems of linear equations; Gaussian elimination/034 Notes How to write system of equations corresponding to a given augmented matrix Problem 2.pdf 536.9 KB
10 Determinants/127 Slides Determinant equations Problem 6.pdf 525.9 KB
06 Matrices and matrix operations/061 Slides Matrix scaling Problem 2.pdf 496.7 KB
07 Inverses; Algebraic properties of matrices/084 Notes Supplement to Video 83.pdf 488.4 KB
03 Systems of linear equations; building up your geometrical intuition/021 Slides An example of a 2 by 2 system of linear equations A graphical solution.pdf 486.2 KB
04 Solving systems of linear equations; Gaussian elimination/030 Slides Gauss Jordan elimination Example 2 by 2 unique solution.pdf 466.5 KB
07 Inverses; Algebraic properties of matrices/080 Notes Inverse matrix for 2-by-2 matrices Non-zero determinant.pdf 465.7 KB
02 Some basic concepts/007 Slides Vector addition and vector scaling.pdf 443.3 KB
06 Matrices and matrix operations/061 Notes Matrix scaling Problem 2.pdf 418.3 KB
06 Matrices and matrix operations/066 Notes Transposed matrix Definition and some examples.pdf 399.4 KB
07 Inverses; Algebraic properties of matrices/085 Slides Inverse of a transposed matrix.pdf 350.1 KB
04 Solving systems of linear equations; Gaussian elimination/039 Slides What happens if the system is inconsistent.pdf 348.7 KB
05 Some applications in mathematics and natural sciences/052 Slides Problem 2 Calculus.pdf 329.8 KB
03 Systems of linear equations; building up your geometrical intuition/018 Slides Linear and nonlinear equations.pdf 328.4 KB
07 Inverses; Algebraic properties of matrices/079 Slides Inverse matrices Not all non-zero square matrices have an inverse.pdf 315.9 KB
06 Matrices and matrix operations/058 Slides Different types of matrices.pdf 308.2 KB
09 Linear systems and matrices/104 Slides Matrix equations Problem 3.pdf 293.9 KB
07 Inverses; Algebraic properties of matrices/083 Slides Computation rules for transposed matrices.pdf 293.1 KB
08 Elementary matrices and a method for finding A inverse/095 Slides Matrix inverse Problem 7.pdf 292.7 KB
07 Inverses; Algebraic properties of matrices/070 Slides Properties of matrix operations An introduction.pdf 285.0 KB
07 Inverses; Algebraic properties of matrices/076 Slides Two distributive laws.pdf 280.5 KB
10 Determinants/125 Slides Determinant equations Problem 4.pdf 274.2 KB
10 Determinants/126 Slides Determinant equations Problem 5.pdf 274.1 KB
04 Solving systems of linear equations; Gaussian elimination/027 Slides An example of a 2 by 2 system of linear equations An algebraical solution.pdf 270.8 KB
05 Some applications in mathematics and natural sciences/051 Slides Problem 1 Calculus.pdf 269.1 KB
04 Solving systems of linear equations; Gaussian elimination/049 Slides Gauss Jordan elimination Problem 13.pdf 266.0 KB
07 Inverses; Algebraic properties of matrices/075 Slides Sometimes commutativity happens Problem 1.pdf 263.6 KB
04 Solving systems of linear equations; Gaussian elimination/045 Slides Gauss Jordan elimination Problem 9.pdf 260.8 KB
05 Some applications in mathematics and natural sciences/055 Slides Problem 5 Chemistry.pdf 223.3 KB
10 Determinants/136 Slides Problem 13 A trigonometric determinant.pdf 221.9 KB
04 Solving systems of linear equations; Gaussian elimination/044 Slides Gauss Jordan elimination Problem 8.pdf 210.9 KB
10 Determinants/135 Slides Problem 12 Another large determinant.pdf 206.4 KB
05 Some applications in mathematics and natural sciences/050 Slides Solving systems of linear equations in Linear Algebra and Geometry.pdf 203.8 KB
04 Solving systems of linear equations; Gaussian elimination/046 Slides Gauss Jordan elimination Problem 10.pdf 198.3 KB
08 Elementary matrices and a method for finding A inverse/089 Slides Matrix inverse Problem 1.pdf 193.0 KB
06 Matrices and matrix operations/068 Slides Various matrix operations Problem 7.pdf 190.3 KB
08 Elementary matrices and a method for finding A inverse/090 Slides Matrix inverse Problem 2.pdf 184.6 KB
08 Elementary matrices and a method for finding A inverse/093 Slides Matrix equations Problem 5.pdf 171.7 KB
08 Elementary matrices and a method for finding A inverse/094 Slides Matrix equations Problem 6.pdf 171.7 KB
04 Solving systems of linear equations; Gaussian elimination/034 Slides How to write system of equations corresponding to a given augmented matrix Problem 2.pdf 170.1 KB
04 Solving systems of linear equations; Gaussian elimination/035 Slides Gaussian elimination Problem 3.pdf 169.1 KB
07 Inverses; Algebraic properties of matrices/077 Slides Matrix multiplication does not have the zero-product property.pdf 168.7 KB
04 Solving systems of linear equations; Gaussian elimination/037 Slides Gaussian elimination Problem 5.pdf 168.3 KB
04 Solving systems of linear equations; Gaussian elimination/036 Slides Gaussian elimination Problem 4.pdf 167.6 KB
04 Solving systems of linear equations; Gaussian elimination/033 Slides How to write the augmented matrix for a given system of equations Problem 1.pdf 167.0 KB
08 Elementary matrices and a method for finding A inverse/099 Article-Solved-Problems-Matrix-Inverse.pdf 166.6 KB
05 Some applications in mathematics and natural sciences/056 Slides Problem 6 Electrical circuits.pdf 161.2 KB
07 Inverses; Algebraic properties of matrices/072 Slides Matrix multiplication has a neutral element for square matrices.pdf 158.1 KB
02 Some basic concepts/012 Slides Rules for computations with real numbers.pdf 150.4 KB
05 Some applications in mathematics and natural sciences/054 Slides Problem 4 Calculus.pdf 144.8 KB
04 Solving systems of linear equations; Gaussian elimination/048 Slides Gaussian elimination Problem 12.pdf 144.7 KB
05 Some applications in mathematics and natural sciences/053 Slides Problem 3 Calculus.pdf 144.3 KB
04 Solving systems of linear equations; Gaussian elimination/047 Slides Gauss Jordan elimination Problem 11.pdf 143.5 KB
04 Solving systems of linear equations; Gaussian elimination/040 Slides Gaussian elimination Problem 7.pdf 141.8 KB
04 Solving systems of linear equations; Gaussian elimination/038 Slides Gaussian elimination Problem 6.pdf 141.7 KB
03 Systems of linear equations; building up your geometrical intuition/016 Slides Different ways of looking at equations.pdf 122.8 KB
04 Solving systems of linear equations; Gaussian elimination/049 Article-Solved-Problems-Systems-of-Equations.pdf 120.7 KB
08 Elementary matrices and a method for finding A inverse/087 Slides Inverse matrices Introduction to the algorithm.pdf 106.5 KB
07 Inverses; Algebraic properties of matrices/086 Article-Solved-Problems-Matrix-Arithmetics.pdf 104.4 KB
10 Determinants/015 Evaluating determinants by cofactor expansion along rows or columns.en.srt 48.0 KB
04 Solving systems of linear equations; Gaussian elimination/009 Gaussian elimination, Problem 3.en.srt 29.0 KB
04 Solving systems of linear equations; Gaussian elimination/016 How to read solutions from REF and RREF matrices_.en.srt 28.8 KB
10 Determinants/028 Inverse matrix, an explicit formula.en.srt 28.3 KB
04 Solving systems of linear equations; Gaussian elimination/017 General formulation of the algorithm in Gauss–Jordan elimination.en.srt 28.3 KB
05 Some applications in mathematics and natural sciences/005 Solving systems of linear equations (Calculus) Problem 4.en.srt 28.0 KB
10 Determinants/033 Problem 14_ Vandermonde determinant.en.srt 27.5 KB
04 Solving systems of linear equations; Gaussian elimination/023 Gauss–Jordan elimination, Problem 13.en.srt 27.1 KB
02 Some basic concepts/009 Linear transformations.en.srt 26.8 KB
10 Determinants/025 Invertible matrices, determinant test with a proof, Problem 8.en.srt 26.2 KB
04 Solving systems of linear equations; Gaussian elimination/022 Gauss–Jordan elimination, Problem 12.en.srt 26.0 KB
05 Some applications in mathematics and natural sciences/004 Solving systems of linear equations (Calculus) Problem 3.en.srt 25.0 KB
02 Some basic concepts/007 Linear combinations.en.srt 24.7 KB
09 Linear systems and matrices/001 Formally about the number of solutions to systems of linear equations.en.srt 23.4 KB
09 Linear systems and matrices/004 Determining consistency by elimination, Problem 2.en.srt 23.4 KB
02 Some basic concepts/001 Coordinate systems and coordinates in the plane and in the 3-space.en.srt 23.3 KB
10 Determinants/013 Sarrus’ rule for 3-by-3 determinants.en.srt 23.1 KB
06 Matrices and matrix operations/013 Various matrix operations, Problem 8.en.srt 21.5 KB
08 Elementary matrices and a method for finding A inverse/008 Matrix equations, Problem 6.en.srt 21.3 KB
10 Determinants/003 Geometrical interpretations of determinants.en.srt 21.2 KB
10 Determinants/007 Conclusion 2_ What happens when one column is a linear combination of others.en.srt 20.3 KB
10 Determinants/026 Cramer’s rule, a proof, an example, and a geometrical interpretation.en.srt 20.0 KB
07 Inverses; Algebraic properties of matrices/004 Matrix multiplication is associative.en.srt 19.5 KB
04 Solving systems of linear equations; Gaussian elimination/021 Gauss–Jordan elimination, Problem 11.en.srt 19.4 KB
06 Matrices and matrix operations/006 Matrix multiplication, with geometrical interpretation.en.srt 19.4 KB
05 Some applications in mathematics and natural sciences/007 Problem 6 (Electrical circuits).en.srt 19.1 KB
07 Inverses; Algebraic properties of matrices/012 Solving matrix equations, Problem 2.en.srt 18.9 KB
04 Solving systems of linear equations; Gaussian elimination/018 Gauss–Jordan elimination, Problem 8.en.srt 18.7 KB
10 Determinants/014 Determinant of transposed matrix; row operations.en.srt 18.5 KB
08 Elementary matrices and a method for finding A inverse/009 Matrix inverse, Problem 7.en.srt 18.3 KB
04 Solving systems of linear equations; Gaussian elimination/010 Gaussian elimination, Problem 4.en.srt 18.0 KB
08 Elementary matrices and a method for finding A inverse/001 Inverse matrices, introduction to the algorithm.en.srt 17.5 KB
04 Solving systems of linear equations; Gaussian elimination/015 Preparation to the general formulation of the algorithm; REF and RREF matrices.en.srt 17.4 KB
09 Linear systems and matrices/003 Solution of a linear system using A inverse, Problem 1.en.srt 17.3 KB
08 Elementary matrices and a method for finding A inverse/007 Matrix equations, Problem 5.en.srt 17.1 KB
02 Some basic concepts/012 Pythagorean Theorem and distance between points.en.srt 16.9 KB
05 Some applications in mathematics and natural sciences/006 Problem 5 (Chemistry).en.srt 16.7 KB
08 Elementary matrices and a method for finding A inverse/013 Four equivalent statements.en.srt 16.6 KB
04 Solving systems of linear equations; Gaussian elimination/012 Gaussian elimination, Problem 6.en.srt 16.4 KB
10 Determinants/031 Problem 12, another large determinant.en.srt 16.4 KB
08 Elementary matrices and a method for finding A inverse/003 Matrix inverse, Problem 1.en.srt 16.3 KB
10 Determinants/005 Definition of determinants.en.srt 16.1 KB
04 Solving systems of linear equations; Gaussian elimination/011 Gaussian elimination, Problem 5.en.srt 16.0 KB
01 Introduction to the course/001 Introduction.en.srt 16.0 KB
10 Determinants/022 Determinant equations, Problem 5.en.srt 15.8 KB
10 Determinants/012 How to compute 3-by-3 determinants from the definition.en.srt 15.5 KB
07 Inverses; Algebraic properties of matrices/017 Various rules, Problem 3.en.srt 15.4 KB
10 Determinants/029 Invertible matrices, Problem 10.en.srt 15.4 KB
10 Determinants/027 Cramer’s rule, Problem 9.en.srt 15.1 KB
02 Some basic concepts/004 Vectors.en.srt 15.0 KB
03 Systems of linear equations; building up your geometrical intuition/002 Solution set.en.srt 14.5 KB
09 Linear systems and matrices/005 Matrix equations, Problem 3.en.srt 14.4 KB
10 Determinants/010 Elementary column operations.en.srt 14.4 KB
03 Systems of linear equations; building up your geometrical intuition/003 Linear and non-linear equations.en.srt 14.3 KB
07 Inverses; Algebraic properties of matrices/006 Sometimes commutativity happens, Problem 1.en.srt 14.1 KB
08 Elementary matrices and a method for finding A inverse/005 Matrix equations, Problem 3.en.srt 13.5 KB
06 Matrices and matrix operations/012 Various matrix operations, Problem 7.en.srt 13.4 KB
10 Determinants/016 Evaluating determinants by row or column reduction.en.srt 13.3 KB
04 Solving systems of linear equations; Gaussian elimination/006 The same example solved with matrix operations; coefficient matrix and augmented.en.srt 13.2 KB
04 Solving systems of linear equations; Gaussian elimination/007 How to write the augmented matrix for a given system of equations, Problem 1.en.srt 12.8 KB
11 Vectors in 2-space, 3-space, and n-space/002 Computation rules for vector addition and scaling.en.srt 12.8 KB
08 Elementary matrices and a method for finding A inverse/010 Elementary operations and elementary matrices.en.srt 12.6 KB
02 Some basic concepts/014 Cosine Rule.en.srt 12.3 KB
02 Some basic concepts/006 Vector addition and vector scaling.en.srt 11.6 KB
07 Inverses; Algebraic properties of matrices/015 Supplement to Video 83; Inverse of a product.en.srt 11.6 KB
10 Determinants/006 Conclusion 1_ Determinant of matrices with interchanged columns.en.srt 11.6 KB
03 Systems of linear equations; building up your geometrical intuition/005 Solution sets of systems of linear equations.en.srt 11.6 KB
02 Some basic concepts/002 Slope-intercept equations of straight lines in the plane.en.srt 11.4 KB
02 Some basic concepts/011 Rules for computations with real numbers.en.srt 11.4 KB
10 Determinants/002 2-by-2 determinants; notation for n-by-n determinants.en.srt 11.3 KB
07 Inverses; Algebraic properties of matrices/010 Inverse matrices; not all non-zero square matrices have an inverse.en.srt 11.3 KB
03 Systems of linear equations; building up your geometrical intuition/009 Possible solution sets of 3 × 3 systems of linear equations.en.srt 11.3 KB
08 Elementary matrices and a method for finding A inverse/004 Matrix inverse, Problem 2.en.srt 11.3 KB
06 Matrices and matrix operations/001 Introduction to matrices.en.srt 11.2 KB
06 Matrices and matrix operations/002 Different types of matrices.en.srt 11.1 KB
07 Inverses; Algebraic properties of matrices/014 Computation rules for transposed matrices.en.srt 11.1 KB
06 Matrices and matrix operations/009 Matrix multiplication and systems of equations, Problem 4.en.srt 11.0 KB
02 Some basic concepts/003 Normal equations of planes in the 3-space.en.srt 11.0 KB
07 Inverses; Algebraic properties of matrices/011 Inverse matrix for 2-by-2 matrices; non-zero determinant.en.srt 11.0 KB
04 Solving systems of linear equations; Gaussian elimination/002 Three elementary operations.en.srt 10.4 KB
08 Elementary matrices and a method for finding A inverse/002 Algorithm for inverse matrices, an example.en.srt 10.4 KB
04 Solving systems of linear equations; Gaussian elimination/001 Our earlier problem revisited; an algebraical solution.en.srt 10.2 KB
05 Some applications in mathematics and natural sciences/003 Solving systems of linear equations (Calculus) Problem 2.en.srt 10.2 KB
10 Determinants/020 Properties of determinants, Problem 3.en.srt 10.1 KB
09 Linear systems and matrices/002 Two more statements in our important theorem.en.srt 9.9 KB
10 Determinants/032 Problem 13_ a trigonometric determinant.en.srt 9.7 KB
04 Solving systems of linear equations; Gaussian elimination/004 Gauss—Jordan elimination, a 2-by-2 system with unique solution.en.srt 9.6 KB
07 Inverses; Algebraic properties of matrices/007 Two distributive laws.en.srt 9.5 KB
10 Determinants/024 Determinant equations, Problem 7.en.srt 9.4 KB
10 Determinants/021 Determinant equations, Problem 4.en.srt 9.4 KB
11 Vectors in 2-space, 3-space, and n-space/001 Vectors, a repetition.en.srt 9.3 KB
04 Solving systems of linear equations; Gaussian elimination/019 Gauss–Jordan elimination, Problem 9.en.srt 9.2 KB
11 Vectors in 2-space, 3-space, and n-space/007 Parallel vectors, Problem 5.en.srt 8.9 KB
03 Systems of linear equations; building up your geometrical intuition/008 Possible solution sets of 3 × 2 systems of linear equations.en.srt 8.7 KB
04 Solving systems of linear equations; Gaussian elimination/003 What is Gauss—Jordan elimination and Gaussian elimination_.en.srt 8.6 KB
10 Determinants/009 Conclusion 4_ Determinant of kA for any k ∈ R.en.srt 8.6 KB
11 Vectors in 2-space, 3-space, and n-space/003 Computations with vectors, Problem 1.en.srt 8.6 KB
02 Some basic concepts/010 Matrix—vector multiplication.en.srt 8.5 KB
05 Some applications in mathematics and natural sciences/001 Solving systems of linear equations in Linear Algebra and Geometry.en.srt 8.5 KB
08 Elementary matrices and a method for finding A inverse/006 Matrix equations, Problem 4.en.srt 8.5 KB
07 Inverses; Algebraic properties of matrices/003 Matrix multiplication has a neutral element for square matrices.en.srt 8.4 KB
10 Determinants/030 Problem 11, a large determinant.en.srt 8.2 KB
07 Inverses; Algebraic properties of matrices/005 Matrix multiplication is not commutative.en.srt 8.2 KB
07 Inverses; Algebraic properties of matrices/002 Matrix addition has all the good properties.en.srt 8.0 KB
05 Some applications in mathematics and natural sciences/002 Solving systems of linear equations (Calculus) Problem 1.en.srt 8.0 KB
10 Determinants/004 Geometrically about the determinant of a product.en.srt 7.9 KB
10 Determinants/011 How to compute 2-by-2 determinants from the definition.en.srt 7.6 KB
10 Determinants/023 Determinant equations, Problem 6.en.srt 7.6 KB
06 Matrices and matrix operations/008 Matrix multiplication, Problem 3.en.srt 7.5 KB
11 Vectors in 2-space, 3-space, and n-space/004 Computations with vectors, Problem 2.en.srt 7.5 KB
10 Determinants/019 Properties of determinants, Problem 2.en.srt 7.3 KB
02 Some basic concepts/008 Matrices.en.srt 7.2 KB
11 Vectors in 2-space, 3-space, and n-space/006 Parallel vectors, Problem 4.en.srt 7.1 KB
04 Solving systems of linear equations; Gaussian elimination/008 How to write system of equations to a given augmented matrix, Problem 2.en.srt 7.1 KB
08 Elementary matrices and a method for finding A inverse/011 Inverse elementary operations and their matrices.en.srt 6.8 KB
10 Determinants/017 Determinant of inverse.en.srt 6.8 KB
02 Some basic concepts/013 Sine, cosine, and pythagorean identity.en.srt 6.4 KB
06 Matrices and matrix operations/004 Matrix scaling, with geometrical interpretation.en.srt 6.4 KB
04 Solving systems of linear equations; Gaussian elimination/020 Gaussian elimination, Problem 10.en.srt 6.3 KB
03 Systems of linear equations; building up your geometrical intuition/011 Possible solution sets of m × n systems of linear equations.en.srt 6.3 KB
07 Inverses; Algebraic properties of matrices/009 There is no cancellation law for matrix multiplication.en.srt 6.3 KB
06 Matrices and matrix operations/007 Matrix multiplication, how to do.en.srt 6.1 KB
04 Solving systems of linear equations; Gaussian elimination/014 Gaussian elimination, Problem 7.en.srt 6.0 KB
08 Elementary matrices and a method for finding A inverse/012 A really important theorem.en.srt 5.9 KB
10 Determinants/018 Properties of determinants, Problem 1.en.srt 5.8 KB
07 Inverses; Algebraic properties of matrices/001 Properties of matrix operations, an introduction.en.srt 5.6 KB
06 Matrices and matrix operations/010 Transposed matrix, definition and some examples.en.srt 5.5 KB
10 Determinants/008 Conclusion 3_ About adding a multiple of a column to another column.en.srt 5.4 KB
03 Systems of linear equations; building up your geometrical intuition/001 Different ways of looking at equations.en.srt 5.4 KB
11 Vectors in 2-space, 3-space, and n-space/005 Computations with vectors, Problem 3.en.srt 5.3 KB
06 Matrices and matrix operations/003 Matrix addition and subtraction, Problem 1.en.srt 5.3 KB
03 Systems of linear equations; building up your geometrical intuition/007 Possible solution sets of 2 × 2 systems of linear equations.en.srt 5.1 KB
07 Inverses; Algebraic properties of matrices/016 Inverse of a transposed matrix.en.srt 5.0 KB
10 Determinants/001 Why the determinants are important.en.srt 4.8 KB
03 Systems of linear equations; building up your geometrical intuition/004 Systems of linear equations.en.srt 4.8 KB
04 Solving systems of linear equations; Gaussian elimination/013 What happens if the system is inconsistent_.en.srt 4.7 KB
03 Systems of linear equations; building up your geometrical intuition/010 Possible solution sets of 2 × 3 systems of linear equations.en.srt 4.1 KB
07 Inverses; Algebraic properties of matrices/013 Powers of matrices; powers of diagonal matrices.en.srt 4.0 KB
04 Solving systems of linear equations; Gaussian elimination/005 The same example solved with Gaussian elimination and back-substitution.en.srt 3.9 KB
06 Matrices and matrix operations/011 Trace of a matrix, definition and an example.en.srt 3.6 KB
07 Inverses; Algebraic properties of matrices/008 Matrix multiplication does not have the zero-product property.en.srt 3.6 KB
03 Systems of linear equations; building up your geometrical intuition/006 An example of a 2 × 2 system of linear equations, a graphical solution.en.srt 3.5 KB
06 Matrices and matrix operations/005 Matrix scaling, Problem 2.en.srt 3.4 KB
02 Some basic concepts/005 Scalars.en.srt 2.3 KB
03 Systems of linear equations; building up your geometrical intuition/023 Slides Possible solution sets of 3 by 2 systems of linear equations Overdetermined systems.pdf 0 bytes
03 Systems of linear equations; building up your geometrical intuition/025 Slides Possible solution sets of 2 by 3 systems of linear equations Underdetermined systems.pdf 0 bytes

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