Super Review Linear Algebra: All You Need to Know

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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!

- 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

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Product Details

  • ISBN-13: 9780878910854
  • Publisher: Research & Education Association
  • Publication date: 5/28/2000
  • Series: Super Reviews Study Guides
  • Pages: 224
  • Sales rank: 984,157
  • Product dimensions: 5.47 (w) x 8.19 (h) x 0.51 (d)

Read an Excerpt

What This Book Will Do For You...

REA's SUPER REVIEWS provides all you need to know to excel in class and succeed on midterms, finals, and even pop quizzes.

Think of this book as giving you access to your own private tutor. Here, right at your fingertips, is a brisk review to help you not only understand your textbook but also pick up where even some of the best lectures leave off.

Outstanding features include...
- Comprehensive yet concise coverage
- Targeted preparation for subject tests
- Easy-to-follow & format that helps you master the subject matter
- End-of-chapter quizzes that provide pretest tune-up

We think you'll agree that, whether you're prepping for your next test or want to be a stronger contributor in class, REA's truly provides all you need to know!

Larry B. Kling
Super Review Program Director

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Table of Contents

Chapter 1 Linear Matrices
1.1 Linear Equations and Matrices 1
1.2 Homogenous Systems of Linear Equations 9
1.3 Matrices 17
1.4 Matrix Arithmetic 22
1.5 Gaussian Elimination 29
1.6 Elementary Matrices 38
Quiz: Linear Matrices 43
Chapter 2 Determinants
2.1 Determinant Function 48
2.2 Determinants by Row Reduction 49
2.3 Determinant Properties 53
2.4 Cofactor Expansion and Cramer's Rule 57
Quiz: Determinants 68
Chapter 3 Vector Spaces
3.1 Euclidean n-Space 73
3.2 Vector Spaces 73
3.3 Subspaces 83
3.4 Linear Independence 89
3.5 Basis and Dimension 101
3.6 Row and Column Space of a Matrix 108
3.7 Inner Product Spaces 113
3.8 Length and Angle in Inner Product Spaces 116
3.9 Orthonormal Bases 124
3.10 Coordinates and Change of Basis 136
Quiz: Vector Spaces 144
Chapter 4 Linear Transformations
4.1 Linear Transformations 149
4.2 Kernel and Range 158
4.3 Linear Transformations from R[superscript n] to R[superscript m] 163
4.4 Matrices of Linear Transformations 167
4.5 Similarity 169
Quiz: Linear Transformations 176
Chapter 5 Eigenvalues and Eigenvectors
5.1 Definitions of Eigenvalues and Eigenvectors 181
5.2 Diagonalization 191
5.3 Symmetric Matrices 200
Quiz: Eigenvalues and Eigenvectors 210
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