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

Correct Answer is : Absolute value remains unchanged but sign will change

Absolute value remains unchanged but sign will change

Both absolute value and sign will change

Absolute value will change but sign will not change

Both absolute value and sign will remain unchanged

GATE Mechanical Engineering (ME) 2015 Shift 1 Solved Paper

Question : 11 of 65

Marks: +1, -0

If any two columns of a determinant

P = {|\table 4 , 7 , 8 ; 3 , 1 , 5 ; 9 , 6 , 2 ; |}

are interchanged, which one of the following statements regarding the value of the determinant is CORRECT?

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