If A = [ 1 − 1 1 1 ] then A 16 = Options: A . &nbsp[02562560] B . &nbsp[25600256] C . &nbsp[−1600−16] D . &nbsp[016160]

Answer: Option B : B A 2 = [ 0 − 2 2 0 ] , A 4 = [ − 4 0 0 − 4 ] A 8 = [ 16 0 0 16 ] , A 16 = [ 256 0 0 256 ]

If A=[1−111] then A16 =

Question

A = [\begin{matrix} 1 & - 1 1 & 1 \end{matrix}]

then

A^{16}

Options:

A . [02562560]

B . [25600256]

C . [−1600−16]

D . [016160]

Answer: Option B
:
B

A^{2} = [\begin{matrix} 0 & - 2 2 & 0 \end{matrix}], A^{4} = [\begin{matrix} - 4 & 0 0 & - 4 \end{matrix}] A^{8} = [\begin{matrix} 16 & 0 0 & 16 \end{matrix}], A^{16} = [\begin{matrix} 256 & 0 0 & 256 \end{matrix}]

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