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Cover image for Problems and solutions in introductory and advanced matrix calculus
Title:
Problems and solutions in introductory and advanced matrix calculus
Personal Author:
Publication Information:
Hackensack, NJ : World Scientific Publishing Company, 2006
Physical Description:
x, 239 p. : ill. ; 24 cm.
ISBN:
9789812569165

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30000010218793 QA188 S66 2006 Open Access Book Book
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Summary

Summary

"As an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus, this self-contained book is ideal for both graduate and undergraduate mathematics students. The coverage includes systems of linear equations, linear differential equations, functions of matrices and the Kronecker product. Many of the problems are related to applications in areas such as group theory, Lie algebra theory and graph theory. Thus, physics and engineering students will also benefit from the book. Exercises for matrix-valued differential forms are also included."--BOOK JACKET.


Table of Contents

Notationp. ix
1 Basic Operationsp. 1
2 Linear Equationsp. 34
3 Determinants and Tracesp. 46
4 Eigenvalues and Eigenvectorsp. 68
5 Commutators and Anticommutatorsp. 95
6 Decomposition of Matricesp. 105
7 Functions of Matricesp. 120
8 Linear Differential Equationsp. 143
9 Kronecker Productp. 152
10 Norms and Scalar Productsp. 174
11 Groups and Matricesp. 186
12 Lie Algebras and Matricesp. 214
13 Graphs and Matricesp. 228
Bibliographyp. 233
Indexp. 237
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