The strength of this textbook lies in the careful exposition of mathematical thinking, basic set-theoretic notions, and proof techniques combined with contemporary numerical methods used throughout the book. A basic version of computer programs compatible with the widely used program MatLab, and exercises are provided on a disk included with the book.Warmup Matrix Operations Invertible Matrices Subspaces Rank and Dimension Geometry Determinants-I Diagonalization Differential Equations Hermitian Matrices Triangular Matrices Unitary Matrices Block Diagonalization Jordan Normal Form Determinants-II Proofs Mathematical Induction Summary of MINIMAT Answers MINIMAT Tutorial (PC Version)