If A=[3−41−1], then prove that An=[1+2n−4nn1−2n], where n is a – InterviewSolution

1.	If A=[3−41−1], then prove that An=[1+2n−4nn1−2n], where n is any positive integer.
Answer» If $A = [\begin{matrix} 3 & - 4 1 & - 1 \end{matrix}]$ , then prove that $A^{n} = [\begin{matrix} 1 + 2 n & - 4 n n & 1 - 2 n \end{matrix}]$ , where n is any positive integer.

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