# Linear Algebra: A First Course

- By: Doli Bambhania, Fatemeh Yarahmadi and Bill Wilson
- Publisher: De Anza College
- Source: [LibreTexts](https://math.libretexts.org/Courses/De_Anza_College/Linear_Algebra%3A_A_First_Course)
- Licence: [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/)
- Read at LibreTexts: https://math.libretexts.org/Courses/De_Anza_College/Linear_Algebra%3A_A_First_Course
- PDF: https://downloads.libretexts.org/api/v1/download/math-161274/pdf

This book offers a comprehensive and accessible introduction to linear algebra. It begins with methods for solving linear systems, followed by an exploration of matrices and their properties, including a dedicated chapter on determinants. The text then introduces vectors, covering essential concepts such as span, linear independence, subspaces, and linear transformations. From there, it develops spectral theory, including diagonalization and orthogonal diagonalization with their applications.