This volume concisely presents fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. For many theorems several different proofs are given. The only prerequisites are a decent background in elementary linear algebra and calculus.

Inhalt

1 Elementary Linear Algebra Review.- 2 Partitioned Matrices.- 3 Matrix Polynomials and Canonical Forms.- 4 Special Types of Matrices.- 5 Unitary Matrices and Contractions.- 6 Positive Semidefinite Matrices.- 7 Hermitian Matrices.- 8 Normal Matrices.- References.- Notation.