## Book description

Follow along in The Manga Guide to Linear Algebra as Reiji takes Misa from the absolute basics of this tricky subject through mind-bending operations like performing linear transformations, calculating determinants, and finding eigenvectors and eigenvalues. With memorable examples like miniature golf games and karate tournaments, Reiji transforms abstract concepts into something concrete, understandable, and even fun.

## Publisher resources

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1. Preface
2. Prologue: Let the Training Begin! (1/2)
3. Prologue: Let the Training Begin! (2/2)
4. 1: What Is Linear Algebra?
5. 2: The Fundamentals
1. Number Systems
2. Implication and Equivalence
3. Set Theory
4. Functions
5. Combinations and Permutations (1/2)
6. Combinations and Permutations (2/2)
7. Not All “Rules for Ordering” Are Functions
6. 3: Intro to Matrices
1. What Is a Matrix?
2. Matrix Calculations
3. Special Matrices
7. 4: More Matrices
1. Inverse Matrices
2. Calculating Inverse Matrices (1/2)
3. Calculating Inverse Matrices (2/2)
4. Determinants
5. Calculating Determinants (1/3)
6. Calculating Determinants (2/3)
7. Calculating Determinants (3/3)
8. Calculating Inverse Matrices Using Cofactors
9. Using Determinants
10. Solving Linear Systems with Cramer's Rule
8. 5: Introduction to Vectors
9. 6: More Vectors
1. Linear Independence (1/2)
2. Linear Independence (2/2)
3. Bases (1/2)
4. Bases (2/2)
5. Dimension
6. Coordinates
10. 7: Linear Transformations
1. What Is a Linear Transformation? (1/2)
2. What Is a Linear Transformation? (2/2)
3. Why We Study Linear Transformations
4. Special Transformations
5. Some Preliminary Tips
6. Kernel, Image, and the Dimension Theorem for Linear Transformations
7. Rank
8. The Relationship Between Linear Transformations and Matrices
11. 8: Eigenvalues and Eigenvectors (1/2)
12. 8: Eigenvalues and Eigenvectors (2/2)
1. What Are Eigenvalues and Eigenvectors?
2. Calculating Eigenvalues and Eigenvectors
3. Calculating the pth Power of an nxn Matrix
4. Multiplicity and Diagonalization
13. Epilogue (1/3)
14. Epilogue (2/3)
15. Epilogue (3/3)
16. Online Resources
17. Index (1/2)
18. Index (2/2)

## Product information

• Title: The Manga Guide to Linear Algebra
• Author(s): Shin Takahashi, Iroha Inoue, Ltd. Trend-Pro Co.
• Release date: May 2012
• Publisher(s): No Starch Press
• ISBN: 9781593274139