Vectors and matrices in automatics and electrotechnics

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ISBN 83-204-2209-4
Author: Kaczorek Tadeusz
Publisher: WNT

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About the book

The book includes a lecture on matrix theory in connection with the theory of algebraic structures, vector spaces and mappings in vector spaces. It presents the basic problems of matrix algebra, polynomial matrices, canonical matrix forms, matrix functions, matrix algebraic equations of one variable, differential and differential equations as well as quadratic forms, as well as polynomial matrices. There are numerous examples illustrating the lined material. At the end of each chapter, tasks for self-solving are given.
The book is intended for students and academic staff of electrical faculties. It can also be useful for electrical engineers, electronics and automation specialists as well as mathematicians of various specialties.

Table of Contents

1. Basic types of matrices and matrix operations

2. Polynomial matrices

3. Cayley-Hamilton theorem and its generalization

4. Bringing numerical arrays to canonical forms

5. Matrix functions

6. Differential and differential equations

7. Matrix algebraic equations

8. Square forms