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Question

If $A = \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}$, $A^2$ is equal to ____.

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

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

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

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

Solution

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