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Determinantshard
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If R2↔R3R_2 \leftrightarrow R_3R2​↔R3​ (swap rows 2 and 3) is applied to a 3×33 \times 33×3 matrix BBB to get B′B'B′, what is the relationship between det⁡(B)\det(B)det(B) and det⁡(B′)\det(B')det(B′)?