Linear Algebra

Gaussian(- Jordan) elimination with row-reduced echelon form, Vector spaces, Linear transformations, finite-dimensional Inner Product spaces, invariants of matrices (trace, rank, determinant),  Eigenvalues and Eigenvectors, Spectral Theorem for finite-dimensional operators,  Jordan form, Singular value decomposition, matrix factorization, Matrix exponential, least squares, generalized inverses. 

Suggested Books:

• Linear Algebra by A. Ramchandra Roa and P. Bhimasankaram

• Linear Algebra  by K. Hoffman and R. Kunze

• Introduction to Linear Algebra By Gilbert Strang 

Exam Details: 

• Quiz-1      10-Sep-2024

• Mid-Sem   27-Sep-2024

• Quiz-2         25-Oct-2024.

• End-sem     26-Nov-2024.