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NPTEL

Advanced Matrix Theory and Linear Algebra for Engineers

NPTEL and Indian Institute of Science Bangalore via YouTube

Overview

The course is taught by Prof. Vittal Rao, Centre for Electronics Design and Technology, IISc Bangalore.

In this course, you will learn Introduction to systems of linear equations, Vector spaces, Solutions of linear systems, Important subspaces associated with a matrix, Orthogonality, Eigenvalues and eigenvectors, Diagonalizable matrices, Hermitian and symmetric matrices, General matrices.

Syllabus

Epigenetics.
Prologue Part 2.
Prologue Part 3.
Linear Systems Part 1.
Linear Systems Part 2.
Linear Systems Part 3.
Linear Systems Part 4.
Vector Spaces Part 1.
Vector Spaces Part 2.
Linear Independence and Subspaces Part 1.
Linear Independence and Subspaces Part 2.
Linear Independence and Subspaces Part 3.
Linear Independence and Subspaces Part 4.
Basis Part 1.
Basis Part 2.
Basis Part 3.
Linear Transformations Part 1.
Linear Transformations Part 2.
Linear Transformations Part 3.
Linear Transformations Part 4.
Linear Transformations Part 5.
Inner Product and Orthogonality Part 1.
Inner Product and Orthogonality Part 2.
Inner Product and Orthogonality Part 3.
Inner Product and Orthogonality Part 4.
Inner Product and Orthogonality Part 5.
Inner Product and Orthogonality Part 6.
Diagonalization Part 1.
Diagonalization Part 2.
Diagonalization Part 3.
Diagonalization Part 4.
Hermitian and Symmetric matrices Part 1.
Hermitian and Symmetric matrices Part 2.
Hermitian and Symmetric matrices Part 3.
Hermitian and Symmetric matrices Part 4.
Singular Value Decomposition (SVD) Part 1.
Singular Value Decomposition (SVD) Part 2.
Back To Linear Systems Part 1.
Back To Linear Systems.
Epilogue.

Taught by

nptelhrd

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Reviews

5.0 rating, based on 1 Class Central review

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  • Dhiyaneshwar
    I recently had the privilege of taking the "Advanced Matrix Theory and Linear Algebra for Engineers" course on YouTube, taught by a professor from the prestigious IISC. This course proved to be a remarkable resource for anyone looking to delve deep…

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