Question

An interchange of rows and columns does not alter the determinant of the matrix. True or false​

Answer 1

The answer is "Flase" please mark me

Answer 2

False. The interchange in rows and columns alters the determinant of the matrix.

• When the rows and columns of a matrix interchange the sign of the determinant also change.

• If you don't want to change the sign then multiply the matrix with (-1).

It's like if A is a matrix then after interchange it becomes,

|A| = -|A|

• The value of the determinant of a matrix becomes zero when the determinants of rows and columns are identical.

•  Hence, the above answer will be false.