Advanced Matrix Theory and Linear Algebra for Engineers

Course Description

This is Advanced Matrix Theory and Linear Algebra for Engineers by Prof. Vittal Rao ,Centre For Electronics Design and Technology, IISC Bangalore. Topics include Introduction, Vector Spaces, Solutions of Linear Systems, Important Subspaces associated with a matrix, Orthogonality, Eigenvalues and Eigenvectors, Diagonalizable Matrices, Hermitian Matrices, General Matrices, Jordan Canonical form (Optional)*, Selected Topics in Applications (Optional).

Advanced Matrix Theory and Linear Algebra for Engineers
Lec 33: Hermitian and Symmetric Matrices (Part 2)
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Video Lectures & Study Materials

Visit the official course website for more study materials: http://nptel.ac.in/syllabus/syllabus.php?subjectId=111108066

# Lecture Play Lecture
I. Introduction to Matrix Theory
1 Systems of Linear Equations (57:44) Play Video
2 Matrix Notation (52:25) Play Video
3 Diagonalization of a Square Matrix (53:05) Play Video
II. Vector Spaces
4 Linear Systems Part 1 (53:41) Play Video
5 Linear Systems Part 2 (55:24) Play Video
6 Linear Systems Part 3 (54:51) Play Video
7 Linear Systems Part 4 (55:42) Play Video
III. Solutions of Linear Systems
8 Vector Spaces Part 1 (54:52) Play Video
9 Vector Spaces Part 2 (55:16) Play Video
10 Linear Independence and Subspaces Part 1 (56:51) Play Video
11 Linear Independence and Subspaces Part 2 (56:06) Play Video
12 Linear Independence and Subspaces Part 3 (59:21) Play Video
13 Linear Independence and Subspaces Part 4 (55:24) Play Video
14 Basis Part 1 (58:23) Play Video
15 Basis Part 2 (56:12) Play Video
16 Basis Part 3 (57:17) Play Video
17 Linear Transformations Part 1 (56:54) Play Video
18 Linear Transformations Part 2 (56:53) Play Video
19 Linear Transformations Part 3 (56:52) Play Video
20 Linear Transformations Part 4 (59:03) Play Video
21 Linear Transformations Part 5 (58:01) Play Video
22 Inner Product and Orthogonality Part 1 (55:11) Play Video
23 Inner Product and Orthogonality Part 2 (54:07) Play Video
24 Inner Product and Orthogonality Part 3 (55:59) Play Video
25 Inner Product and Orthogonality Part 4 (56:25) Play Video
26 Inner Product and Orthogonality Part 5 (56:29) Play Video
27 Inner Product and Orthogonality Part 6 (52:43) Play Video
28 Diagonalization Part 1 (55:34) Play Video
29 Diagonalization Part 2 (57:11) Play Video
30 Diagonalization Part 3 (57:23) Play Video
31 Diagonalization Part 4 (59:40) Play Video
32 Hermitian and Symmetric matrices Part 1 (54:37) Play Video
33 Hermitian and Symmetric matrices Part 2 (56:18) Play Video
34 Hermitian and Symmetric matrices Part 3 (57:40) Play Video
35 Hermitian and Symmetric matrices Part 4 (57:06) Play Video
36 Singular Value Decomposition (SVD) Part 1 (57:52) Play Video
37 Singular Value Decomposition (SVD) Part 2 (57:19) Play Video
38 Back To Linear Systems Part 1 (57:37) Play Video
39 Back To Linear Systems Part 2 (58:32) Play Video
40 Epilogue (56:13) Play Video

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