Schaum's Outline of Linear Algebra Fourth Edition

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McGraw Hill Professional, 31 août 2008 - 480 pages

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Linear algebra is a foundation course for students entering mathematics, engineering, and computer science, and the fourth edition includes more problems connected directly with applications to these majors. It is also updated throughout to include new essential appendices in algebraic systems, polynomials, and matrix applications.

 

Pages sélectionnées

Table des matières

Chapter 1 Vectors in Rsupn and Csupn Spatial Vectors
1
Chapter 2 Algebra of Matrices
27
Chapter 3 Systems of Linear Equations
57
Chapter 4 Vector Spaces
112
Chapter 5 Linear Mappings
164
Chapter 6 Linear Mappings and Matrices
195
Chapter 7 Inner Product Spaces Orthogonality
226
Chapter 8 Determinants
264
Chapter 11 Linear Functionals and the Dual Space
349
Chapter 12 Bilinear Quadratic and Hermitian Forms
359
Chapter 13 Linear Operators on Inner Product Spaces
377
Multilinear Products
396
Algebraic Structures
403
Polynomials over a Field
411
Odds and Ends
415
List of Symbols
420

Eigenvalues and Eigenvectors
292
Chapter 10 Canonical Forms
325
Index
421
Droits d'auteur

Expressions et termes fréquents

Accordingly algorithm augmented matrix AX ¼ back-substitution basis vectors bilinear form block matrix called change-of-basis matrix characteristic polynomial coefficients complex numbers coordinates corresponding cosets denote determinant diagonal entries diagonal matrix dim V I echelon form eigenvalues eigenvectors elementary row operations EXAMPLE field find Find the matrix first following matrices form a basis free variables hence homogeneous system inner product space invertible Let F linear combination linear equations linear mapping linear operator linearly independent mapping f matrix representation minimal polynomial n-square nonsingular nonsingular matrix obtain operations Replace orthogonal matrix orthonormal basis pivot positive definite Prove Theorem proved in Problem real numbers Replace R3 row canonical form row equivalent row space scalar multiplication Show Solve spans square matrix subspace symmetric symmetric matrix system of linear transpose triangular unique solution unitary unknowns usual basis vector 11 vector space yields þÁÁÁþ

À propos de l'auteur (2008)

Marc Lipson, Ph.D. (Philadelphia, PA), is on the mathematical faculty of the University of Georgia. He is co-author of Schaum's Outline of Discrete Mathematics.

Informations bibliographiques

TitreSchaum's Outline of Linear Algebra Fourth Edition
Schaum's Outline Series
AuteursSeymour Lipschutz, Marc Lipson
Édition4
ÉditeurMcGraw Hill Professional, 2008
ISBN0071543538, 9780071543538
Longueur480 pages
  
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