Show that the matrix \( A=\left[\begin{array}{rr}-8 & 5 \\ 2 & 4\en...

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Show that the matrix \( A=\left[\begin{array}{rr}-8 & 5 \\ 2 & 4\end{array}\right] \) satisfies the equation \( x^{2}+4 x-42=0 \)
\( \mathrm{P} \) and hence find \( A^{-1} \).

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