Herng Yi Cheng
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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
(which was probably how you learned to calculate determinants in school, anyway).
Derive a general formula for $n \times n$ matrices using
Determinants for non-square matrices?
Are there consequences for the eigenvalues?