vault backup: 2026-05-28 00:20:53

Wiki/Math/Matricies/Determinant of a Matrix.md

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+For a 2 x 2 matrix:
+$$ \det\begin{pmatrix}
+a&b\\c&d
+\end{pmatrix} = \begin{vmatrix} a&b\\c&d\end{vmatrix} = ad-bc$$
+For a 3 x 3 matrix:
+$$\begin{vmatrix} a&b&c\\d&e&f\\g&h&i\end{vmatrix} = a\begin{vmatrix} e&f\\h&i\end{vmatrix} - b\begin{vmatrix} d&f\\g&i\end{vmatrix} + c\begin{vmatrix} d&e\\g&h\end{vmatrix} = a(ei-hf)-b(di-gf)+c(dh-ge)$$
+### Properties
+$$\begin{matrix}
+a&b\\a&b
+\end{matrix}$$