Ononot — Given A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}, cons

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Determinantshard

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Given $A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$ , consider the matrix $B$ defined by $B = A^3 - 5A^2 + 2I$ . Find $\det(B)$ .