If matrix A=[0 0 find A20,A25 2 0]

Taking the given matrix as, A = [\begin{matrix} 0 & 0 \\ 2 & 0 \end{matrix}] A^{2} = [\begin{matrix} 0 & 0 \\ 2 & 0 \end{matrix}] [\begin{matrix} 0 & 0 \\ 2 & 0 \end{matrix}] = [\begin{matrix} 0 & 0 \\ 0 & 0 \end{matrix}] So A^{3} = A^{2} \times A = [\begin{matrix} 0 & 0 \\ 0 & 0 \end{matrix}] \times [\begin{matrix} 0 & 0 \\ 2 & 0 \end{matrix}] = [\begin{matrix} 0 & 0 \\ 0 & 0 \end{matrix}] . . . So we will get each time zero matrix So A^{20} = A^{35} = [\begin{matrix} 0 & 0 \\ 0 & 0 \end{matrix}]

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