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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