यदि A = \(\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 7 \\ 2 & 3 & 2 \\ \end{bmatrix}\) है, इस प्रकार A3 - 8A2 + αA + βI = 0, तो \(\frac{\alpha}{\beta+2}\) का मान क्या है?

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