Question

Determine a inversa da matriz R = [ -2 3 1 5 ]

Answer 1

$A=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] \\A^{-1}=\frac{1}{Det(A)}.\left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right]$

 Para essa matriz:

$R=\left[\begin{array}{ccc}-2&3\\1&5\end{array}\right] \\R^{-1}=-\frac{1}{13}\left[\begin{array}{ccc}5&-3\\-1&-2\end{array}\right]\\\\R^{-1}=\left[\begin{array}{ccc}-\frac{5}{13}&\frac{3}{13}\\\frac{1}{13}&\frac{2}{13}\end{array}\right]$

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