MTL860: Linear Algebra

3 Credits (3-0-0)

Vector spaces, linear transformations, Eigenvalues and eigenvectors, Diagonalization, Simultaneous triangulation and diagonalization. The primary decomposition theorem. Cyclic decomposition and the rational and Jordan canonical forms. Computation of invariant factors. Inner product spaces, unitary operators, spectral theorem for normal operators, polar decomposition. Bilinear and quadratic forms, Symmetric and Skew-symmetric bilinear forms. Non-negative matrices, Perron-Frobenius theory, generalized inverse of a matrix.