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Determinantsmedium
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Starting with matrix AAA where det⁡(A)=4\det(A) = 4det(A)=4, we perform three operations in sequence: (1) Multiply row 1 by 3, (2) Add row 2 to row 3, (3) Swap rows 1 and 2. Let BBB be the resulting matrix. What is det⁡(B)\det(B)det(B)?