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If matrix \( A=\left[\begin{array}{ll}0 & 2 \\ 0 & 0\end{array}\right] \) and \( f(x)=1+x+x^{2}+x^{4}+x^{8} \)
\( \mathrm{P} \)
\( +x^{16} \), find \( f(A) \).
W
(1) \( \left[\begin{array}{ll}1 & 2 \\ 0 & 1\end{array}\right] \)
(2) \( \left[\begin{array}{ll}2 & 2 \\ 0 & 0\end{array}\right] \)
(3) \( \left[\begin{array}{cc}1 & -2 \\ 1 & 0\end{array}\right] \)
(4) \( \left[\begin{array}{cc}-1 & 2 \\ 0 & -1\end{array}\right] \)
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