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If $A = [\begin{matrix} 1 & 0 \\ 1 / 2 & 1 \end{matrix}]$ , then A¹⁰⁰ is equal to

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10501

10251

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Correct option is B

A2=101/21101/21=1011=102(1/2)1A3=A2×A=1021/21101/21=1011=103(1/2)1Continuing in this way, we getA100=101001/21=10501

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If A=101/21, then A100 is equal to

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If $A = [\begin{matrix} 1 & 0 \\ 1 / 2 & 1 \end{matrix}]$ , then A¹⁰⁰ is equal to