Question

O determinante da matriz M=(2 1 -1 4 1 -2 0 4 0)

Answer 1

Resposta:

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Explicação passo-a-passo:

$\sf M= \left(\begin{array}{ccc}\sf2&\sf2&\sf-1\\\sf4&\sf1&\sf-2\\\sf0&\sf4&\sf0\end{array}\right)$

$\sf det\,M=\left|\begin{array}{ccc}\sf2&\sf2&\sf-1\\\sf4&\sf1&\sf-2\\\sf0&\sf4&\sf0\end{array}\right|\left|\begin{array}{cc}\sf2&\sf2\\\sf4&\sf1\\\sf0&\sf4\end{array}\right|$

$\mathsf{det\,M=[ 0+0+(-16)]-[0+(-16)+0]}$

$\mathsf{det\,M=[0+(-16)]-[-16+0] }$

$\mathsf{det\,M=[-16]-[-16] }$

$\boxed{\boxed{\mathsf{det\,M=0}} }$