Discussion
Assertion: a matrix with two identical rows has zero determinant. Reason: interchanging two rows changes the sign of a determinant.
Answer: D
Correct answer: both the assertion and the reason are true and the reason explains the assertion
Both are true and the reason gives the proof. Interchange the two identical rows: the matrix is unchanged, so its determinant is unchanged, but the interchange rule says the determinant has been negated. Hence \( D = -D \), which forces \( D = 0 \). The argument is a complete derivation, not merely a related fact.
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