Question

Determine a matriz inversa A= 3 1 11 4

Answer 1

Resposta:

$\left(\begin{matrix}4 & -1 \\-11 & 3\end{matrix}\right)$

Explicação passo-a-passo:

Formula $A^{-1}$  $\left(\begin{matrix}a & b \\c & d\end{matrix}\right) = \left(\begin{matrix}C_{11} & C_{21} \\C_{12} & C_{22}\end{matrix}\right) = \dfrac{1}{a . d . -b . c} = \left(\begin{matrix}d & -b \\c & a\end{matrix}\right)$

$\left(\begin{matrix}3 & 1 \\11 & 4\end{matrix}\right)^{-1}$  $\dfrac{1}{3 . 4 . -1 . 11} ~ = ~ \left(\begin{matrix}4 & -1 \\-11 & 3\end{matrix}\right) ~$