If two adjacent rows of a determinant are interchanged, the value of the…
2009
If two adjacent rows of a determinant are interchanged, the value of the determinant
- A.
becomes zero
- B.
remains unaltered
- C.
becomes infinitive
- D.
becomes negative of its original value
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Correct answer: D
A fundamental property of determinants states that if any two rows (or columns) are interchanged, the sign of the determinant changes. Therefore, if two adjacent rows are swapped, the new value becomes the negative of the original determinant's value.