
- 560 pages
- English
- PDF
- Available on iOS & Android
Matrix Algebra Using MINimal MATlab
About this book
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)
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Information
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Dedication
- PREFACE
- Table of Contents
- 1: WARMUP
- 2: MATRIX OPERATIONS
- 3: INVERTIBLE MATRICES
- 4: SUBSPACES
- 5: RANK AND DIMENSION
- 6: GEOMETRY
- 7: DETERMINANTS-I
- 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: MATHEMATIC ALINDUCTION
- C: SUMMARY OF MINIMAT
- D: ANSWERS
- E: MINIMAT Tutorial (PC Version)
- F: INDEX
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