Ononot — Let A be a 3 \times 3 matrix. Matrix B is obtained by applyi

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Determinantshard

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Let $A$ be a $3 \times 3$ matrix. Matrix $B$ is obtained by applying these operations in order: (1) Multiply row 1 by 3, (2) Swap rows 2 and 3, (3) Add 2 times row 1 to row 3. What is $\det(B)$ in terms of $\det(A)$ ?