Faculty of Science

Objectives

To introduce students to elementary concepts of Linear Algebra.

Contents

Vector spaces and subspaces over arbitrary fields; Linear dependence and independence; Bases and dimension; Linear transformations and their matrices; Change of basis; Similar matrices; Eigenvalues and eigenvectors; Symmetric; skew-symmetric; Hermitian; Skew-Hermitian; orthogonal and unitary matrices; Bilinear forms; Quadratic forms; Inner products; Gram-Schmidt orthogonalization.

Prerequisite: