Matrix Algebra Using MINimal MATlab

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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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Editorial Reviews

An undergraduate textbook that teaches mathematical literacy by providing a careful treatment of set theoretic notions and elementary mathematical proofs. It gives a complete handling of the fundamental normal form theorems of matrix algebra. It fully integrates the computer by describing the basic algorithms in the computer language Matlab and by providing computer exercises that utilize new pedagogical techniques. The computer program MINIMAT is included. Annotation c. Book News, Inc., Portland, OR (
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Product Details

  • ISBN-13: 9781568810249
  • Publisher: Taylor & Francis
  • Publication date: 4/28/1995
  • Edition description: New Edition
  • Pages: 560

Table of Contents

1 Warmup 1
2 Matrix Operations 27
3 Invertible Matrices 73
4 Subspaces 115
5 Rank and Dimension 155
6 Geometry 189
7 Determinants-I 231
8 Diagonalization 253
9 Differential Equations 277
10 Hermitian Matrices 305
11 Triangular Matrices 331
12 Unitary Matrices 355
13 Block Diagonalization 379
14 Jordan Normal Form 401
15 Determinants-II 421
A Proofs 437
B Mathematical Induction 445
C Summary of Minimat 449
D Answers 465
E Minimat Tutorial (PC Version) 523
F Index 537
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