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Let $A = \begin{bmatrix} a & b \ c & d \end{bmatrix}$ and $B = \begin{bmatrix} \alpha \ \beta \end{bmatrix} \neq \begin{bmatrix} 0 \ 0 \end{bmatrix}$ such that $AB = B$ and $a + d = 2021$, then the value of $ad - bc$ is equal to ______.
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