Question

If any two columns of determinant $D=\left[\begin{array}{ccc}4& 7& 8\\ 3& 1& 5\\ 9& 6& 2\end{array}\right]$ are interchanged, which one of the statement is correct

• A. absolute value remains unchanged but sign will change
  
• B. both value & sign will change
• C. absolute value will change but sign will not change
• D. both absolute value and sign will remain unchanged

Answer 1

The correct option is A absolute value remains unchanged but sign will change


If any two rows columns of a determinant are interchanged, then the value of determinant will be equal to negative of the given determinant but absolute value remains same.