Front Cover

pp.：  1 – 4

Methods of Matrix Algebra

pp.：  4 – 5

Copyright Page

pp.：  5 – 14

Foreword

pp.：  6 – 12

Symbols and Conventions

pp.：  12 – 20

Contents

pp.：  14 – 6

Chapter I. Vectors and Matrices

pp.：  20 – 62

Chapter II. The Inner Product

pp.：  62 – 85

Chapter III. Eigenvalues and Eigenvectors

pp.：  85 – 116

Chapter IV. Hermitian, Unitary, and Normal Matrices

pp.：  116 – 134

Chapter V. Change of Basis, Diagonalization, and the Jordan Canonical Form

pp.：  134 – 166

Chapter VI. Functions of a Matrix

pp.：  166 – 191

Chapter VII. The Matricant

pp.：  191 – 212

Chapter VIII. Decomposition Theorems and the Jordan Canonical Form

pp.：  212 – 234

Chapter IX. The Improper Inner Product

pp.：  234 – 258

Chapter X. The Dyad Expansion and Its Application

pp.：  258 – 277

Chapter XI. Projectors

pp.：  277 – 298

Chapter XII. Singular and Rectangular Operators

pp.：  298 – 312

Chapter XIII. The Commutator Operator

pp.：  312 – 340

Chapter XIV. The Direct Product and the Kronecker Sum

pp.：  340 – 354

Chapter XV. Periodic Systems

pp.：  354 – 367

Chapter XVI. Application to Electromagnetic Theory

pp.：  367 – 378

Chapter XVII. Sturm-Liouville Systems

pp.：  378 – 390

Chapter XVIII. Markoff Matrices and Probability Theory

pp.：  390 – 402

Chapter XIX. Stability

pp.：  402 – 415

References and Recommended Texts

pp.：  415 – 420

Subject Index

pp.：  420 – 426