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Determinantsmedium
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Starting with det⁡(A)=5\det(A) = 5det(A)=5, matrix BBB is obtained from AAA by applying these row operations in sequence: (1) Multiply row 1 by 3, (2) Swap rows 2 and 3, (3) Add row 2 to row 1, (4) Multiply row 3 by −2-2−2. What is det⁡(B)\det(B)det(B)?