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Basic Linear Algebra

Indian Institute of Technology Bombay via NPTEL

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Overview

Linear Algebr is a basic course for students intended to go for Engineering sudies and higher studies in Mathematics. We will cover the basic tools needed in these brances.

PREREQUISITES: Basic mathematics at school level undergraduate level

Syllabus

Week 1  :  Matrices and Matrix operations, REF
Week 2  :  Linear systems, Gauss Elimination and Inverse of a matrix
Week 3  :  Rn; subspaces, linear independence, rank of a matrix
Week 4  :  Determinants, rank, inveribility
Week 5  :  Linear transformations,rank-nullity
Week 6  :  Inner product spaces, Gram-Schmidt process 
Week 7  :  Eigenvalues and Eigenvectors
Week 8  :  Similarity, diagonalization and applications

Taught by

Prof. I.K.Rana

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