Question

calcule o determinante das matrizes

$\left[\begin{array}{ccc}3&1&3\\2&-1&2\\8&5&8\end{array}\right]$

Answer 1

Olá

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$\left\begin{vmatrix}3&1&3\\2&-1&2\\8&5&8\end{vmatrix}\right \\ \\ \\ \text{Calculando o determinante por sarrus } \\ \\ \\ \left\begin{vmatrix}3&1&3&|3&1\\2&-1&2&|2&-1\\8&5&8&|8&5\end{vmatrix}\right \\ \\ \\ \mathsf{=\underbrace{(\mathsf{-24+16+30})}_{diag.~principal}~~-\underbrace{(\mathsf{16+30-24})}_{diag.~secund\'aria}} \\ \\ \\ =(22)~-~(22) \\ \\\boxed{ Determinante=0}$