Matrix Algebra Using MINimal MATlab

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)

PREFACE, 1 WARMUP, 2 MATRIX OPERATIONS, 3 INVERTIBLE MATRICES, 4 SUBSPACES, 5 RANK AND DIMENSION, 6 GEOMETRY, 7 DETERMINANTS, 8 DIAGONALIZATION, 9 DIFFERENTIAL EQUATIONS, 10 HERMITIAN MATRICES, 11 TRIANGULAR MATRICES, 12 UNITARY MATRICES, 13 BLOCK DIAGONALIZATION, 14 JORDAN NORMAL FORM, 15 DETERMINANTS II, A PROOFS, B MATHEMATICAL INDUCTION, C SUMMARY OF MINIMAT, D ANSWERS, EMINIMAT Tutorial (PC Version), INDEX

Joel W. Robbin