ch. 1. Preliminaries --
ch. 2. Vector spaces --
ch. 3. Canonical forms --
ch. 4. Inner product spaces --
ch. 5. Bilinear forms.

Beginning with the basic concepts of vector spaces such as linear independence, basis and dimension, quotient space, linear transformation and duality with an exposition of the theory of linear operators on a finite dimensional vector space, this book includes the concepts of eigenvalues and eigenvectors, diagonalization, triangulation and Jordan and rational canonical forms. Inner product spaces which cover finite dimensional spectral theory, and an elementary theory of bilinear forms are also discussed.