If any two columns of a determinant $P = \left| {\begin{array}{*{20}{c}} 4&7&8\ 3&1&5\ 9&6&2 \end{array}} \right|$ are interchanged, which one of the following statements regarding the value of the determinant is CORRECT?

Question

If any two columns of a determinant $P = \left| {\begin{array}{*{20}{c}} 4&7&8\ 3&1&5\ 9&6&2 \end{array}} \right|$ are interchanged, which one of the following statements regarding the value of the determinant is CORRECT?

TuteeHUB · Accepted Answer

Both absolute value and sign will change

TuteeHUB · Answer

Absolute value remains unchanged but sign will change

TuteeHUB · Answer

Absolute value will change but sign will not change

TuteeHUB · Answer

Both absolute value and sign will remain unchanged

1.	If any two columns of a determinant \(P = \left\| {\begin{array}{*{20}{c}} 4&7&8\\ 3&1&5\\ 9&6&2 \end{array}} \right\|\) are interchanged, which one of the following statements regarding the value of the determinant is CORRECT?
A.	Absolute value remains unchanged but sign will change
B.	Both absolute value and sign will change
C.	Absolute value will change but sign will not change
D.	Both absolute value and sign will remain unchanged
Answer» B. Both absolute value and sign will change

If any two columns of a determinant \(P = \left| {\begin{array}{*{20}{c}} 4&7&8\\ 3&1&5\\ 9&6&2 \end{array}} \right|\) are interchanged, which one of the following statements regarding the value of the determinant is CORRECT?

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