Question: Look up the definition for the inverse of a matrix. Use the definition of the inverse of a matrix to solve.

Show that

\(\left[ \begin{matrix} 2 & 3 & -1 \\ 1 & 2 & 1 \\ -1 & -1 & 3 \\ \end{matrix} \right]\)

Is the inverse of:

\(\left[ \begin{matrix} 7 & -8 & 5 \\ -4 & 5 & -3 \\ 1 & -1 & 1 \\ \end{matrix} \right]\)

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