Schaum's outline of theory and problems of matrices / Frank Ayres.

Matrices - Some types of matrices - Determinant of a square matrix - Evaluation of determinants - Equivalence - The adjoint of a square matrix - The inverse of a matrix - Fields - Linear dependence of vectors and forms - Linear equations - Vector spaces - Linear transformations - Vectors over the real field - Vectors over the complex field - congruence - Bilinear forms - Quadratic forms - Hermitian forms - The characteristic equation of a matrix - Similarity - Similarity to a diagonal matrix - Polynomials over a field - Lambda matrices - Smith normal form - The minimum polynomial of a matrix - Canonical forms under similarity.