# Matrices and Linear Transformations

Courier Corporation, 1990 - Mathematics - 318 pages
"Comprehensive . . . an excellent introduction to the subject." — Electronic Engineer's Design Magazine.
This introductory textbook, aimed at sophomore- and junior-level undergraduates in mathematics, engineering, and the physical sciences, offers a smooth, in-depth treatment of linear algebra and matrix theory. The major objects of study are matrices over an arbitrary field.
Contents include Matrices and Linear Systems; Vector Spaces; Determinants; Linear Transformations; Similarity: Part I and Part II; Polynomials and Polynomial Matrices; Matrix Analysis; and Numerical Methods.
The first seven chapters, which require only a first course in calculus and analytic geometry, deal with matrices and linear systems, vector spaces, determinants, linear transformations, similarity, polynomials, and polynomial matrices. Chapters 8 and 9, parts of which require the student to have completed the normal course sequence in calculus and differential equations, provide introductions to matrix analysis and numerical linear algebra, respectively. Among the key features are coverage of spectral decomposition, the Jordan canonical form, the solution of the matrix equation AX = XB, and over 375 problems, many with answers.

### What people are saying -Write a review

#### Review: Matrices and Linear Transformations

User Review  - Darin - Goodreads

Unlike Elementary Matrix Theory, by Howard Eves, this book does share a lot of material with the linear algebra texts published in 2010. However, there is still some material in this book, such as ... Read full review

#### Review: Matrices and Linear Transformations

Unlike Elementary Matrix Theory, by Howard Eves, this book does share a lot of material with the linear algebra texts published in 2010. However, there is still some material in this book, such as ... Read full review

### Contents

 Matrices and Linear Systems 1 Vector Spaces 67 Determinants 104 Linear Transformations 124 Part I 178
 Polynomials and Polynomial Matrices 215 Part II 236 Matrix Analysis 255 Numerical Methods 272 Copyright