Pedro Arantes
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Matrix Determinant

It's a scalar value that is a function of the entries of a square matrix.
#linear-algebra
Zettelkasten, July 01, 2021
## Notes - It's a scalar value that is a function of the entries of a square matrix. - It represents the area of the parallelogram defined by the vector columns of the matrix. - If the value is $0$, then: - the column vectors are linearly dependent. - If the value is not $0$, then: - the column vectors are linearly independent; - the matrix is invertible. ## Questions - In one sentence, shows that $\det(M_1M_2) = \det(M_1)\det(M_2)$. ## References - [Wikipedia. Determinant](https://en.wikipedia.org/wiki/Determinant) - [3Blue1Brown. The determinant | Chapter 6, Essence of linear algebra](https://www.youtube.com/watch?v=Ip3X9LOh2dk)
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