Suggestions for Determinant from Matrix Multiplication
Ideas for further contemplation from the blog post Determinant from Matrix Multiplication.
- For $n \times n$ matrices, use the Laplace Expansion (which was probably how you learned to calculate determinants in school, anyway).
- Derive a general formula for $n \times n$ matrices using Mathematical Induction.
- Determinants for non-square matrices?
- Are there consequences for the eigenvalues?