alleryWhich property of determinants is correct?
AInterchanging two adjacent rows leaves the determinant unchanged
BIf two rows are identical, the determinant is zero
CMultiplying one row by $k$ leaves the determinant unchanged
DChanging rows into columns always changes the sign of the determinant
Answer & Solution
Correct answer: B. If two rows are identical, the determinant is zero
If two rows or two columns of a determinant are identical, its value becomes zero.
Interchanging two rows changes the sign, not preserves it
multiplying one row by $k$ multiplies the determinant by $k$
and transposing a determinant leaves its value unchanged.
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