Practicing Success
Determinant is unaltered if : |
Elements of any two rows are interchanged Elements of any two columns are interchanged Every diagonal element is changed to zero All the rows and columns are interchanged |
All the rows and columns are interchanged |
I → elements of two rows are interchanged → determinant becomes negative II → elements of two columns are interchanged → determinant becomes negative III → every diagonal element is changed to zero → value of determinant charges IV → all rows and columns interchanged → althrough sign of determinant change multiple times but overall it remains uncharged |