Question

URGENTEEE Realize os cálculos do determinante da matriz M = [1 5 −2/8 3 0/4 −1 2], aplicando o teorema
de Laplace.

Answer 1

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$\sf M=\begin{bmatrix}\sf1&\sf5&\sf-2\\\sf8&\sf3&\sf0\\\sf4&\sf-1&\sf2\end{bmatrix}\\\sf det~M=1\cdot\begin{bmatrix}\sf3&\sf0\\\sf-1&\sf2\end{bmatrix}-5\cdot\begin{bmatrix}\sf8&\sf0\\\sf4&\sf2\end{bmatrix}-2\cdot\begin{bmatrix}\sf8&\sf3\\\sf4&\sf-1\end{bmatrix}\\\sf det~M=1\cdot(6)-5\cdot(16)-2\cdot(-8-12)\\\sf det~M=6-80-2\cdot(-20)\\\sf det~M=6-80+40\\\sf det~M=-34\checkmark$