If \(A = \begin{pmatrix} 1 & 2 \\ 2 & -1 \end{pmatrix} \) ,then which ONE of…

GATE · 2025 · CS · Set 2 · Computer Science & IT

If A=(122−1)A = \begin{pmatrix} 1 & 2 \\ 2 & -1 \end{pmatrix} ,then which ONE of the following is A8A^8 ?

  1. A.

    (250025)\begin{pmatrix} 25 & 0 \\ 0 & 25 \end{pmatrix}

  2. B.

    (12500125)\begin{pmatrix} 125 & 0 \\ 0 & 125 \end{pmatrix}

  3. C.

    (62500625)\begin{pmatrix} 625 & 0 \\ 0 & 625 \end{pmatrix}

  4. D.

    (3125003125)\begin{pmatrix} 3125 & 0 \\ 0 & 3125 \end{pmatrix}

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