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Let $$ A = \begin{bmatrix}0 & \alpha \\\beta & 0 \end{bmatrix}, \alpha \neq 0, \beta \neq 0$$. If $$A^3 + A = 0$$, then $$\alpha \beta =$$
1
$$\frac{1}{2}$$
$$-\frac{1}{2}$$
-1
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