Linear Algebra - 1

Code: MA625 | L-T-P-C: 3-1-0 -8

MA625 Linear Algebra - 1 [3-1-0-8] Prerequisite: Nil

Vector spaces: subspaces, sums and direct sums; Finite dimensional vector spaces: bases and dimensions; Linear maps: null-spaces and range, invertibility; Polynomials with real and complex coefficients; Eigenvalues and eigenvectors: triangularization and diagonalization of operators on finite dimensional vector spaces; Inner-product spaces: orthonormal bases, linear functional and adjoins; Operators on inner-product spaces: self-adjoint and normal operators, minimal polynomial, Jordan form; Traces and determinants of operators and matrices.

Texts/References:

1. S. Axler, Linear Algebra Done Right, 2nd Edition, UTM, Springer, Indian Edition, 2010.
2. K. Hoffman and R. Kunze, Linear Algebra, Prentice Hall of India, 1996.
3. G. Strang, Introduction to Linear Algebra, 4th Edition, Wellesley Cambridge Press, 2009.