Prakash Om. Golden Linear Algebra

Laxmi Publications, 2005. - 257 pages.1. Basic Concepts;
2. Vector Spaces:
3. Linear Transformations;
4. Eigen Values and Eigen Vectors;
5. Special Types of Matrices.Definitions of groups, rings and fields with illustrations. Vector spice, linear dependence and independence, basis, dimension, row and column spies of matrices, connection with rank. The space of solution of a system of linear homogeneous equations. Linear transformations and their algebra, connection between matrices and linear transformations. Determinant and trace of a linear transformation. Rank and nullity of a linear transformation. Eigen values vectors. Cayley-Hamilton Theorem.