Determinants
A 12-module path through determinants, in study order from foundations to the frontier.
Modules
- Alternating Multilinear Forms
- Existence and Uniqueness of the Determinant
- The Determinant as an Alternating Form
- Basis-Independence of the Determinant
- Leibniz Permutation Formula
- Computing Determinants by Cofactor Expansion
- Determinant Properties and Row Operations
- Multiplicativity of the Determinant
- Determinant and Invertibility
- The Adjugate and Cofactor Matrix
- Cramer's Rule
- The Determinant as Volume and Orientation