Linear Algebra (MTL502)
Credit
4.00 (L-T-P: 3-1-0)
Department / Center / School / Unit
Course Contents
Revision of existence-uniqueness of solutions of a system of linear equations, elementary row operations, row-reduced echelon matrices.
Vector spaces, span of a subset, bases and dimension, quotient spaces, direct sums. Linear transformations, rank-nullity, matrix representation of a linear transformation, algebra of linear transformations, dual space, transpose of a linear transformation. Eigenvalues, eigenvectors, annihilating polynomials, Cayley-Hamilton theorem, invariant subspaces, triangulable and diagonalizable linear operators. Simultaneous triangulation and diagonalization, Primary decomposition theorem, Jordan decomposition.