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.

Contact us

School of Mathematical Sciences

NISERPO- Bhimpur-PadanpurVia- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

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