Find the Matrix Product When Possible $A = \left[ \begin{array} { r r } 1 & - 2 \\ - 5 & 4 \end{array} \right]$

Find the matrix product when possible.
-Given $A = \left[ \begin{array} { r r } 1 & - 2 \\ - 5 & 4 \end{array} \right]$ , find $A ^ { 3 }$ .

A)
$\left[ \begin{array} { r r } 61 & - 62 \\ - 155 & 154 \end{array} \right]$
B)
$\left[ \begin{array} { r r } 1 & - 8 \\ - 125 & 64 \end{array} \right]$
C)
$\left[ \begin{array} { r r } 21 & - 6 \\ - 15 & - 6 \end{array} \right]$
D)
$\left[ \begin{array} { r r } 31 & - 77 \\ - 185 & 31 \end{array} \right]$

Correct Answer:

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