2017-02-10

Linear Algebra by Ariel Cintron-Arias at ETSU

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source: East Tennessee State University     2016年2月25日
MATH 2010 Linear Algebra
Linear Algebra studies systems of linear equations, matrix algebra, inner products, vector spaces, linear transformations, eigenvalues, and three-space vector geometry.Lecture content is based on free book "A First Course in Linear Algebra" by R. A. Beezer: http://linear.ups.edu/download.html

Solving Systems of Linear Equations part 1 11:56
Solving Systems of Linear Equations part 2 11:51
RREF part 1 13:34
RREF part 2 12:28
RREF part 3 8:03
Types of Solution Sets part 1 14:56
Types of Solution Sets part 2 15:02
Types of Solution Sets part 3 11:09
Homogeneous Systems of Equations part 1 13:28
Homogeneous Systems of Equations part 2 13:39
Homogeneous Systems of Equations part 3 6:52
Nonsingular Matrices part 1 11:36
Nonsingular Matrices part 2 8:26
Complex Number Operations Part 1 5:36
Complex Number Operations Part 2 3:56
Complex Number Operations Part 3 4:32
Complex Number Operations Part 4 11:29
Complex Number Operations Part 5 5:35
Complex Number Operations Part 6 9:53
Vector Operations Part 1 11:16
Vector Operations Part 2 14:54
Vector Operations Part 3 8:51
Linear Combinations Part 1 9:56
Linear Combinations Part 2 13:49
Linear Combinations Part 3 8:46
Spanning Sets Part 1 13:57
Spanning Sets Part 2 13:43
Spanning Sets Part 3 8:03
Linear Independence Part 1 14:52
Linear Independence Part 2 13:39
Linear Independence Part 3 11:27
Linear Independence Part 4 9:13
Linear Dependence and Spans Part 1 9:47
Linear Dependence and Spans Part 2 8:06
Orthogonality Part 1 14:21
Orthogonality Part 2 14:43
Orthogonality Part 3 12:40
Orthogonality Part 4 12:31
Orthogonality Part 5 15:01
Gram-Schmidt Procedure Part 1 15:02
Gram-Schmidt Procedure Part 2 13:15
Cosine and Angle Between Vectors 11:28
Column Space 12:35
Row Space 7:14
Matrix Operations Part 1 11:46
Matrix Operations Part 2 11:04
Matrix Operations Part 3 14:43
Matrix Operations Part 4 4:56
Matrix Multiplication Part 1 13:40
Matrix Multiplication Part 2 8:32
Matrix Multiplication Part 3 11:25
Matrix Multiplication Part 4 14:11
Matrix Inverses and Nonsingular Matrices 14:27
Matrix Inverses and Systems of Linear Equations, Part 1 13:41
Matrix Inverses and Systems of Linear Equations, Part 2 12:35
Matrix Inverses and Systems of Linear Equations, Part 3 5:08
Exercise on matrix inverse with parameter 7:07
Exercise on matrix inverse with matrix equations 9:29
Vector Spaces Part 1 13:37
Vector Spaces Part 2 11:21
Vector Spaces Part 3 14:26
Vector Spaces Part 4 11:48
Vector Spaces Part 5 14:36
Vector Spaces Part 6 12:38
Vector Spaces Part 7 12:15
Subspaces Part 1 14:15
Subspaces Part 2 14:12
Linear Independence and Spanning Sets Part 1 13:46
Linear Independence and Spanning Sets Part 2 8:55
Linear Independence and Spanning Sets Part 3 14:40
Linear Independence and Spanning Sets Part 4 11:52
Bases 14:34
Dimension Part 1 12:29
Dimension Part 2 6:53
Properties of Dimension Part 1 14:42
Properties of Dimension Part 2 13:22
Four Subspaces 11:28
Determinants Part 1 14:11
Determinants Part 2 14:24
Properties of Determinant Part 1 14:01
Properties of Determinant Part 2 13:20
Eigenvalues and Eigenvectors Part 1 14:24
Eigenvalues and Eigenvectors Part 2 14:42
Eigenvalues and Eigenvectors Part 3 15:02
Eigenvalues and Eigenvectors Part 4 13:28
Eigenspaces Part 1 12:54
Eigenspaces Part 2 12:20
Eigenspaces Part 3 7:09
Properties of Eigenvalues Part 1 14:50
Properties of Eigenvalues Part 2 13:21
Properties of Eigenvalues Part 3 8:46
Properties of Eigenvalues Part 4 14:11
Similarity and Diagonalization Part 1 13:31
Similarity and Diagonalization Part 2 14:18
Eigenvalue Decomposition Part 1 14:30
Eigenvalue Decomposition Part 2 14:46
Linear Transformations Part 1 14:02
Linear Transformations Part 2 12:41
Linear Transformations Part 3 13:51
Linear Transformations and Linear Combinations 14:49
Matrices and Linear Transformations 13:43
Vector Representations Part 1 13:50
Vector Representations Part 2 7:02
Vector Representations Part 3 10:45
Coordinatization Principle 13:13
Matrix Representations Part 1 12:50
Matrix Representations Part 2 10:18
Matrix Representations Part 3 5:13
Change of Basis Part 1 14:03
Change of Basis Part 2 11:13

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