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immersive linear algebra

by J. Ström, K. Åström, and T. Akenine-Möller
v1.1. ISBN: 978-91-637-9354-7

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The world's first linear algebra book with fully interactive figures.

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Table of Contents

Preface

A few words about this book.

Chapter 1: Introduction

How to navigate, notation, and a recap of some math that we think you already know.

Chapter 2: Vectors

The concept of a vector is introduced, and we learn how to add and subtract vectors, and more.

Chapter 3: The Dot Product

A powerful tool that takes two vectors and produces a scalar.

Chapter 4: The Vector Product

In three-dimensional spaces you can produce a vector from two other vectors using this tool.

Chapter 5: Gaussian Elimination

A way to solve systems of linear equations.

Chapter 6: The Matrix

Enter the matrix.

Chapter 7: Determinants

A fundamental property of square matrices.

Chapter 8: Rank

Discover the behaviour of matrices.

Chapter 9: Linear Mappings

Learn to harness the power of linearity...

Chapter 10: Eigenvalues and Eigenvectors

This chapter has a value in itself.