#### David Austin

Digital versions | PDF and HTML |

Latex source | Yes |

Exercises | Yes |

Solutions | Yes |

License | Creative Commons Attribution License |

- PDF version: 7 chapters, 32 sections, 487 pages
- Accompanying PDF workbook to be used with either version
- Designed for an active learning style of course
- Does not assume students have taken calculus
- Solution manual available upon request
- For more information and to access the PDF and HTML versions

This text is for a first course in linear algebra at the college level that should appeal to students in a variety of majors. It emphasizes the conceptual and geometric foundations of linear algebra with enough depth so that topical applications such as image compression, the page rank algorithm, and principal component analysis can be developed in detail.Throughout the book there are frequent Sage cells designed to help students learn to use computational tools effectively. The book has been in use for a few years at Grand Valley State University, where the author teaches, and has been adopted elsewhere.

Contents

- Systems of equations
- Vectors, matrices, and linear combinations
- Invertibility, bases, and coordinate systems
- Eigenvalues and eigenvectors
- Linear algebra and computing
- Orthogonality and least squares
- The Spectral Theorem and singular value decomposition