9780395967195

Elementary Linear Algebra Student Solutions, Fourth Edition : Used with ... Larson-Elementary Linear Algebra

by
  • ISBN13:

    9780395967195

  • ISBN10:

    0395967198

  • Edition: 4th
  • Format: Paperback
  • Copyright: 1999-07-09
  • Publisher: Brooks Cole
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Supplemental Materials

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Table of Contents

Systems of Linear Equations
Introduction to Systems of Linear Equations
1(12)
Gaussian Elimination and Gauss-Jordan Elimination
13(10)
Applications of Systems of Linear Equations
23(16)
Review Exercises
32(7)
Matrices
Operations with Matrices
39(7)
Properties of Matrix Operations
46(6)
The Inverse of a Matrix
52(8)
Elementary Matrices
60(6)
Applications of Matrix Operations
66(20)
Review Exercises
77(9)
Determinants
The Determinant of a Matrix
86(7)
Evaluation of a Determinant Using Elementary Operations
93(4)
Properties of Determinants
97(6)
Applications of Determinants
103(30)
Review Exercises
117(12)
Chapters 1-3 Cumulative Test
129(4)
Vector Spaces
Vectors in Rn
133(6)
Vector Spaces
139(3)
Subspaces of Vector Spaces
142(3)
Spanning Sets and Linear Independence
145(8)
Basis and Dimension
153(4)
Rank of a Matrix and Systems of Linear Equations
157(6)
Coordinates and Change of Basis
163(5)
Applications of Vector Spaces
168(19)
Review Exercises
178(9)
Inner Product Spaces
Length and Dot Product in Rn
187(7)
Inner Product Spaces
194(8)
Orthonormal Bases: Gram-Schmidt Process
202(11)
Mathematical Models and Least Squares Analysis
213(5)
Applications of Inner Product Spaces
218(27)
Review Exercises
230(11)
Chapters 4-5 Cumulative Test
241(4)
Linear Transformations
Introduction to Linear Transformations
245(5)
The Kernel and Range of a Linear Transformation
250(5)
Matrices for Linear Transformations
255(16)
Transition Matrices and Similarity
271(4)
Applications of Linear Transformations
275(16)
Review Exercises
281(10)
Eigenvalues and Eigenvectors
Eigenvalues and Eigenvectors
291(10)
Diagonalization
301(6)
Symmetric Matrices and Orthogonal Diagonalization
307(3)
Applications of Eigenvalues and Eigenvectors
310(8)
Review Exercises
318(7)
Chapters 6-7 Cumulative Test
325

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