Super Review Linear Algebra: All You Need to Know

Super Review Linear Algebra: All You Need to Know

by The Editors of REA, REA Staff
     
 

ISBN-10: 0878910859

ISBN-13: 9780878910854

Pub. Date: 05/28/2000

Publisher: Research & Education Association


Get all you need to know with Super Reviews! Each Super Review is packed with in-depth, student-friendly topic reviews that fully explain everything about the subject. The Linear Algebra Super Review includes linear matrices, determinants, vector spaces, linear transformations, and eigenvectors. Take the Super Review quizzes to see how much you've learned - and

Overview


Get all you need to know with Super Reviews! Each Super Review is packed with in-depth, student-friendly topic reviews that fully explain everything about the subject. The Linear Algebra Super Review includes linear matrices, determinants, vector spaces, linear transformations, and eigenvectors. Take the Super Review quizzes to see how much you've learned - and where you need more study. Makes an excellent study aid and textbook companion. Great for self-study!

DETAILS
- From cover to cover, each in-depth topic review is easy-to-follow and easy-to-grasp - Perfect when preparing for homework, quizzes, and exams!
- Review questions after each topic that highlight and reinforce key areas and concepts
- Student-friendly language for easy reading and comprehension
- Includes quizzes that test your understanding of the subject

Product Details

ISBN-13:
9780878910854
Publisher:
Research & Education Association
Publication date:
05/28/2000
Series:
Super Reviews Study Guides
Pages:
224
Product dimensions:
5.47(w) x 8.19(h) x 0.51(d)
Age Range:
16 Years

Related Subjects

Table of Contents

Chapter 1Linear Matrices
1.1Linear Equations and Matrices1
1.2Homogenous Systems of Linear Equations9
1.3Matrices17
1.4Matrix Arithmetic22
1.5Gaussian Elimination29
1.6Elementary Matrices38
Quiz: Linear Matrices43
Chapter 2Determinants
2.1Determinant Function48
2.2Determinants by Row Reduction49
2.3Determinant Properties53
2.4Cofactor Expansion and Cramer's Rule57
Quiz: Determinants68
Chapter 3Vector Spaces
3.1Euclidean n-Space73
3.2Vector Spaces73
3.3Subspaces83
3.4Linear Independence89
3.5Basis and Dimension101
3.6Row and Column Space of a Matrix108
3.7Inner Product Spaces113
3.8Length and Angle in Inner Product Spaces116
3.9Orthonormal Bases124
3.10Coordinates and Change of Basis136
Quiz: Vector Spaces144
Chapter 4Linear Transformations
4.1Linear Transformations149
4.2Kernel and Range158
4.3Linear Transformations from R[superscript n] to R[superscript m]163
4.4Matrices of Linear Transformations167
4.5Similarity169
Quiz: Linear Transformations176
Chapter 5Eigenvalues and Eigenvectors
5.1Definitions of Eigenvalues and Eigenvectors181
5.2Diagonalization191
5.3Symmetric Matrices200
Quiz: Eigenvalues and Eigenvectors210

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