Course No
M453
Credit
4
Approval
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
- K. Hoffman, R. Kunze, “Linear Algebra”, Prentice-Hall of India, 2012.
- S. Roman, “Advanced Linear Algebra”, Graduate Texts in Mathematics 135, Springer, 2008.
- R. A. Horn, C. R. Johnson, “Matrix Analysis”, Cambridge University Press, 2010.