A field of mathematics involving vectors, matrices, and spaces, foundational to engineering theory and practice.
Key concepts
- Linear equation
- Vector
- Matrices and linear transformations
- Vector space and subspace
- Linear combination
- Orthogonality
- Eigenvalue and eigenvector and diagonalisation
- Least squares
- Matrix decomposition
- Eigendecomposition
- Singular value decomposition
- Spectral theorem
- LU decomposition
- QR decomposition
- Tensor
Resources
For introductory resources:
- Linear Algebra with Applications, by Otto Bretscher
- Introduction to Linear Algebra, by Gilbert Strang
For a more rigorous introduction:
- Linear Algebra Done Right, by Sheldon Axler
See also
- MAT188 — Linear Algebra, from first-year of undergrad