Advanced Matrix Theory and Linear Algebra for Engineers

Video Lectures

Displaying all 40 video lectures.
I. Introduction to Matrix Theory
Lecture 1
Systems of Linear Equations
Play Video		 Systems of Linear Equations
Topics in this module:
1. First Basic Problem – Systems of Linear equations - Matrix Notation – The various questions that arise with a system of linear equations
2. Second Basic Problem – Diagonalization of a square matrix – The various questions that arise with diagonalization
Lecture 2
Matrix Notation
Play Video		 Matrix Notation
Topics in this module:
1. First Basic Problem – Systems of Linear equations - Matrix Notation – The various questions that arise with a system of linear equations
2. Second Basic Problem – Diagonalization of a square matrix – The various questions that arise with diagonalization
Lecture 3
Diagonalization of a Square Matrix
Play Video		 Diagonalization of a Square Matrix
Topics in this module:
1. First Basic Problem – Systems of Linear equations - Matrix Notation – The various questions that arise with a system of linear equations
2. Second Basic Problem – Diagonalization of a square matrix – The various questions that arise with diagonalization
II. Vector Spaces
Lecture 4
Linear Systems Part 1
Play Video		 Linear Systems Part 1
Lecture 5
Linear Systems Part 2
Play Video		 Linear Systems Part 2
Lecture 6
Linear Systems Part 3
Play Video		 Linear Systems Part 3
Lecture 7
Linear Systems Part 4
Play Video		 Linear Systems Part 4
III. Solutions of Linear Systems
Lecture 8
Vector Spaces Part 1
Play Video		 Vector Spaces Part 1
Lecture 9
Vector Spaces Part 2
Play Video		 Vector Spaces Part 2
Lecture 10
Linear Independence and Subspaces Part 1
Play Video		 Linear Independence and Subspaces Part 1
Lecture 11
Linear Independence and Subspaces Part 2
Play Video		 Linear Independence and Subspaces Part 2
Lecture 12
Linear Independence and Subspaces Part 3
Play Video		 Linear Independence and Subspaces Part 3
Lecture 13
Linear Independence and Subspaces Part 4
Play Video		 Linear Independence and Subspaces Part 4
Lecture 14
Basis Part 1
Play Video		 Basis Part 1
Lecture 15
Basis Part 2
Play Video		 Basis Part 2
Lecture 16
Basis Part 3
Play Video		 Basis Part 3
Lecture 17
Linear Transformations Part 1
Play Video		 Linear Transformations Part 1
Lecture 18
Linear Transformations Part 2
Play Video		 Linear Transformations Part 2
Lecture 19
Linear Transformations Part 3
Play Video		 Linear Transformations Part 3
Lecture 20
Linear Transformations Part 4
Play Video		 Linear Transformations Part 4
Lecture 21
Linear Transformations Part 5
Play Video		 Linear Transformations Part 5
Lecture 22
Inner Product and Orthogonality Part 1
Play Video		 Inner Product and Orthogonality Part 1
Lecture 23
Inner Product and Orthogonality Part 2
Play Video		 Inner Product and Orthogonality Part 2
Lecture 24
Inner Product and Orthogonality Part 3
Play Video		 Inner Product and Orthogonality Part 3
Lecture 25
Inner Product and Orthogonality Part 4
Play Video		 Inner Product and Orthogonality Part 4
Lecture 26
Inner Product and Orthogonality Part 5
Play Video		 Inner Product and Orthogonality Part 5
Lecture 27
Inner Product and Orthogonality Part 6
Play Video		 Inner Product and Orthogonality Part 6
Lecture 28
Diagonalization Part 1
Play Video		 Diagonalization Part 1
Lecture 29
Diagonalization Part 2
Play Video		 Diagonalization Part 2
Lecture 30
Diagonalization Part 3
Play Video		 Diagonalization Part 3
Lecture 31
Diagonalization Part 4
Play Video		 Diagonalization Part 4
Lecture 32
Hermitian and Symmetric matrices Part 1
Play Video		 Hermitian and Symmetric matrices Part 1
Lecture 33
Hermitian and Symmetric matrices Part 2
Play Video		 Hermitian and Symmetric matrices Part 2
Lecture 34
Hermitian and Symmetric matrices Part 3
Play Video		 Hermitian and Symmetric matrices Part 3
Lecture 35
Hermitian and Symmetric matrices Part 4
Play Video		 Hermitian and Symmetric matrices Part 4
Lecture 36
Singular Value Decomposition (SVD) Part 1
Play Video		 Singular Value Decomposition (SVD) Part 1
Lecture 37
Singular Value Decomposition (SVD) Part 2
Play Video		 Singular Value Decomposition (SVD) Part 2
Lecture 38
Back To Linear Systems Part 1
Play Video		 Back To Linear Systems Part 1
Lecture 39
Back To Linear Systems Part 2
Play Video		 Back To Linear Systems Part 2
Lecture 40
Epilogue
Play Video		 Epilogue