# Linear algebra: spaces, eigenvectors and fitting

> Develop matrix, vector-space and projection reasoning before using least squares.

Prerequisites: Systems of linear equations and vector arithmetic.

Short self-study course; not an accredited qualification or a complete university syllabus.

## Lessons

- [Bases, rank and linear maps](https://studybrix.com/en/courses/linear-algebra/u-linear-spaces/index.md): university; 8 questions.
- [Eigenvectors and diagonalization](https://studybrix.com/en/courses/linear-algebra/u-eigenvectors/index.md): university; 8 questions.
- [Orthogonality and least-squares fitting](https://studybrix.com/en/courses/linear-algebra/u-least-squares/index.md): university; 8 questions.