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AA and BB are n×nn×n matrices. Check the true statements below: A. If two row interchanges are made in sucession, then the determinant of the new matrix is equal to the determinant of the original matrix. B. The determinant of AA is the product of the diagonal entries in AA. C. detAT=(−1)detAdetAT=(−1)detA. D. If detAdetA is zero, then two rows or two columns are the same, or a row or a column is zero.

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Answer:

If two row interchanges are made in succession, then the determinant of the new matrix is equal to the determinant of the original matrix. ( A )

Step-by-step explanation:

A and B been n*n matrices the true statement would be ;  If two row interchanges are made in succession, then the determinant of the new matrix is equal to the determinant of the original matrix.

Although other options can be true for some matrices but they are not always true for every kind matrices but option A is always true

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