Ononot — Let A be a 3 \times 3 matrix with \det(A) = 4. What is the d

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Determinantshard

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Let $A$ be a $3 \times 3$ matrix with $\det(A) = 4$ . What is the determinant of the matrix $B$ defined by $B_{ij} = A_{ij} \cdot 3^{i+j}$ ?