Mathematics Matrices Adjoint and Inverse of a Square Matrix

Let \(\rm B = \begin{bmatrix} 1 & 3 \\[0.3em] 1 & 5 \\[0.3em] \end{bmatrix}\,\) and A be a 2 × 2 matrix such that AB–1 = A–1. If BCB–1 = A and C4 + αC2 + βI = O, then 2β – α is equal to :

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16
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2
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8
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10

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