Syllabus (Core): M.Tech

Linear Algebra

Code: EE 556 | L-T-P-C : 3-0-0

Course Content/ Syllabus

Vector spaces, linear independence, bases and dimension, linear maps and matrices,

fundamental subspaces, rank-nullity theorem, eigenvalues, invariant subspaces, inner

products, norms, orthonormal bases, spectral theorem, unitary and orthogonal transformations,

operators on real and complex vector spaces, singular value decomposition, annihilating

polynomials, characteristic polynomial, minimal polynomial, Jordan canonical form of matrices,

sign-definite matrices, basic iterative methods for solutions of linear systems and their rates of

convergence, iterative methods for eigenvalue problems, least squares using linear algebra.

Texts: (Format: Authors, Book Title in Italics font, Volume/Series, Edition Number, Publisher,

Year.)

1. K. Hoffman and R. Kunze, Linear Algebra, Pearson Education Inc., 2nd Edition, 2013.

2. G.H. Golub and C.F. Van Loan, Matrix Computations, Johns Hopkins University Press, 4th Edition, 2013.

References: (Format: Authors, Book Title in Italics font, Volume/Series, Edition Number,

Publisher, Year.)

1. S. Axler, Linear Algebra Done Right, 3rd Edition, Springer, 2015.

2. G. Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press, U.S., 5th Edition, 2016.

3. D.S. Watkins, Fundamental of Matrix Computations, Wiley, 3rd Edition, 2010.

4. N. Johnston, Introduction to Linear and Matrix Algebra, Springer, 1st Edition, 2021