# Course

## M453 - Advance Linear Algebra

Course No:
M453
Credit:
4
Prerequisites:
M205
Approval:
2014
UG-Elective
Syllabus:
Rational and Jordan canonical forms, Inner product spaces, Unitary and Normal operators, Forms on inner product spaces, Spectral theorems, Bilinear forms, Matrix decomposition theorems, Courant- Fischer minimax and related theorems, Nonnegative matrices, Perron-Frobenius theory, Generalized inverse, Matrix Norm, Perturbation of eigenvalues.
Reference Books:
1. K. Hoffman, R. Kunze, “Linear Algebra”, Prentice-Hall of India, 2012.
2. S. Roman, “Advanced Linear Algebra”, Graduate Texts in Mathematics 135, Springer, 2008.
3. R. A. Horn, C. R. Johnson, “Matrix Analysis”, Cambridge University Press, 2010.