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Determinantshard
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Let AAA be a 3×33 \times 33×3 matrix with det⁡(A)=5\det(A) = 5det(A)=5. What is the determinant of the matrix M=(2A003I)M = \begin{pmatrix} 2A & 0 \\ 0 & 3I \end{pmatrix}M=(2A0​03I​), where MMM is a 6×66 \times 66×6 block diagonal matrix?