ISBN-10:
0126801371
ISBN-13:
9780126801378
Pub. Date:
09/01/2000
Publisher:
Elsevier Science
Linear Algebra Student Solutions Manual / Edition 1

Linear Algebra Student Solutions Manual / Edition 1

by Fred Szabo

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Product Details

ISBN-13: 9780126801378
Publisher: Elsevier Science
Publication date: 09/01/2000
Edition description: SOLUTN MN
Pages: 278
Product dimensions: 0.58(w) x 7.50(h) x 9.25(d)

About the Author

Author of:

The Linear Algebra Survival Guide, 1st Edition

Actuaries' Survival Guide, 2nd Edition

Actuaries' Survival Guide, 1st Edition

Linear Algebra: An Introduction using Maple, 1st Edition

Linear Algebra: An Introduction using Mathematica, 1st Edition

Fred E. Szabo is professor in the Department of Mathematics and Statistics at Concordia University in Canada. He completed his undergraduate studies at Oxford University under the guidance of Sir Michael Dummett and received a Ph.D. in mathematics from McGill University under the supervision of Joachim Lambek. After postdoctoral studies at Oxford University and visiting professorships at several European universities, he returned to Concordia University as a faculty member and dean of graduate studies. For more than twenty years, he developed methods for the teaching of mathematics with technology. In 2012 he was honored at the annual Wolfram Technology Conference for his work on "A New Kind of Learning" with a Wolfram Innovator Award. He is currently professor and Provost Fellow at Concordia University.

Table of Contents

Preface ix
Linear Systems
1(36)
Linear Equations
1(7)
Linear Systems
8(4)
Mathematica and Linear System
12(2)
Matrices and Linear Systems
14(5)
Augmented Matrices
19(2)
Row Echelon Matrices
21(6)
Reduced Row Echelon Matrices
27(2)
Matrix Equations
29(8)
Matrix Algebra
37(38)
Basic Matrix Operations
39(7)
A Lexicon of Matrices
46(6)
Invertible Matrices
52(5)
Orthogonal Matrices
57(2)
Lu Decomposition
59(11)
Applications
70(5)
Determinants
75(14)
The Laplace Expansion
75(6)
Applications
81(8)
Vector Spaces
89(32)
Real Vector Spaces
89(21)
Subspaces
110(7)
Complex Vector Spaces
117(4)
Linear Transformations
121(32)
Matrices and Linear Transformations
131(8)
Images and Kernels
139(12)
Similarity
151(2)
Eigenvalues and Eigenvectors
153(24)
Characteristic Polynomials
159(6)
Eigenspaces
165(4)
Diagonalizing Square Matrices
169(3)
Applications
172(5)
Norms and Inner Products
177(28)
Norms
177(4)
Real Inner Products
181(10)
Angles
191(6)
Quadratic Forms
197(5)
Complex Inner Products
202(3)
Orthogonality
205(36)
Orthogonal Vectors
205(5)
Orthogonal Bases
210(2)
Orthonormal Bases
212(6)
Qr Decomposition
218(6)
Orthogonal Matrices
224(3)
Orthogonal Subspaces
227(4)
Orthogonal Transformations
231(5)
The Method of Least Squares
236(5)
Singular Values and Singular Vectors
241(8)
Singular Values
241(4)
Singular Value Decomposition
245(4)
Applications
249

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