If \[A\left[ \begin{matrix} 1 & 2 \\ 3 & 5 \\ \end{matrix} \right],\] then the value of the determinant \[|{{A}^{2009}}-5{{A}^{2008}}|\] is

If \[A\left[ \begin{matrix} 1 & 2 \\ 3 & 5 \\ \end{matrix} \right],\

1.	If \[A\left[ \begin{matrix} 1 & 2 \\ 3 & 5 \\ \end{matrix} \right],\] then the value of the determinant \[\|{{A}^{2009}}-5{{A}^{2008}}\|\] is
A.	\[-6\]
B.	\[-5\]
C.	\[-4\]
D.	\[4\]
Answer» B. \[-5\]

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If \[A\left[ \begin{matrix} 1 & 2 \\ 3 & 5 \\ \end{matrix} \right],\] then the value of the determinant \[|{{A}^{2009}}-5{{A}^{2008}}|\] is

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