Find $A ^ { 80 }$ When $A = \left[ \begin{array} { l l l } 0 & 1 & 1 \\0 & 0 & 1 \\0 & 0 & 0\end{array} \right]$

Find $A ^ { 80 }$ when $A = \left[ \begin{array} { l l l } 0 & 1 & 1 \\0 & 0 & 1 \\0 & 0 & 0\end{array} \right]$ .

A) $\left[ \begin{array} { l l l } 1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{array} \right]$
B) $[ 0 ]$
C) $\left[ \begin{array} { l l l } 0 & 0 & 0 \\0 & 0 & 0 \\0 & 0 & 0\end{array} \right]$
D) $\left[ \begin{array} { l l l } 1 & 1 & 1 \\1 & 1 & 1 \\1 & 1 & 1\end{array} \right]$
E) $[ 1 ]$

Correct Answer:

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