# Manga Guide to Linear Algebra

Reiji wants two things in life: a black belt in karate and Misa, the girl of his dreams. Luckily, Misa's big brother is the captain of the university karate club and is ready to strike a deal: Reiji can join the club if he tutors Misa in linear algebra.

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.

As you follow Misa through her linear algebra crash course, you'll learn about-

- Basic vector and matrix operations such as addition, subtraction, and multiplication
- Linear dependence, independence, and bases
- Using Gaussian elimination to calculate inverse matrices
- Subspaces, dimension, and linear span
- Practical applications of linear algebra in fields like computer graphics, cryptography, and engineering

But Misa's brother may get more than he bargained for as sparks start
to fly between student and tutor. Will Reiji end up with the girl—or
just a pummeling from her oversized brother? Real math, real romance,
and real action come together like never before in *The Manga Guide to Linear Algebra*.

__ Table of Contents __-

Chapter 1 What Is Linear Algebra?

Chapter 2 The Fundamentals

Chapter 3 Intro to Matrices

Chapter 4 More Matrices

Chapter 5 Intro to Vectors

Chapter 6 More Vectors

Chapter 7 Linear Transformations

Chapter 8 Eigenvalues and Eigenvectors

Copyright 2012

Book Title | Manga Guide to Linear Algebra |

Publisher: | MISC SA |

Author | Shin Takahashi |

Reiji wants two things in life: a black belt in karate and Misa, the girl of his dreams. Luckily, Misa's big brother is the captain of the university karate club and is ready to strike a deal: Reiji can join the club if he tutors Misa in linear algebra.

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.

As you follow Misa through her linear algebra crash course, you'll learn about-

- Basic vector and matrix operations such as addition, subtraction, and multiplication
- Linear dependence, independence, and bases
- Using Gaussian elimination to calculate inverse matrices
- Subspaces, dimension, and linear span
- Practical applications of linear algebra in fields like computer graphics, cryptography, and engineering

But Misa's brother may get more than he bargained for as sparks start
to fly between student and tutor. Will Reiji end up with the girl—or
just a pummeling from her oversized brother? Real math, real romance,
and real action come together like never before in *The Manga Guide to Linear Algebra*.

__ Table of Contents __-

Chapter 1 What Is Linear Algebra?

Chapter 2 The Fundamentals

Chapter 3 Intro to Matrices

Chapter 4 More Matrices

Chapter 5 Intro to Vectors

Chapter 6 More Vectors

Chapter 7 Linear Transformations

Chapter 8 Eigenvalues and Eigenvectors

Copyright 2012