If A = begin{bmatrix} 0 & 1 1 & 0 end{bmatri | vedclass

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(A) Given $A = \begin{bmatrix} 0 & 1 \ 1 & 0 \end{bmatrix}$.First,calculate ${A^2}$:${A^2} = A 	imes A = \begin{bmatrix} 0 & 1 \ 1 & 0 \end{bmatrix

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$\begin{bmatrix} 1 & 0 \ 0 & 1 \end{bmatrix}$

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(A) Given $A = \begin{bmatrix} 0 & 1 \ 1 & 0 \end{bmatrix}$.First,calculate ${A^2}$:${A^2} = A 	imes A = \begin{bmatrix} 0 & 1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} 0 & 1 \ 1 & 0 \end{bmatrix} = \begin{bmatrix} (0 	imes 0 + 1 	imes 1) & (0 	imes 1 + 1 	imes 0) \ (1 	imes 0 + 0 	imes 1) & (1 	imes 1 + 0 	imes 0) \end{bmatrix} = \begin{bmatrix} 1 & 0 \ 0 & 1 \end{bmatrix} = I$.Now,calculate ${A^4}$:${A^4} = {A^2} 	imes {A^2} = I 	imes I = I = \begin{bmatrix} 1 & 0 \ 0 & 1 \end{bmatrix}$.

If $A = \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}$,then ${A^4} = $

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