Vector sub-spaces, dimension, Linear transformations and their representation by matrices, rank of a matrix, system of liner equations, eigen values and eigen vectors, diagonalization.
Inner product spaces - Orthonormal sets, Gram Schmidt process and its application to the method of least squares, QR algorithm, contraction mapping theorem and its application to numerical solutions of nonlinear equations
Approximation of linear transformation and functionals, numerical integration and differentiation.
- Teacher: mtnair THAMBAN NAIR M