Determinant of any square matrix is equal to determinant of its transpose. Lets take an example of any square matrix and find value of its determinant. Then transpose this matrix and again find value of determinant of transpose of matrix. We will note that determinant of matrix is equal to determinant of its transpose.
Suppose 3 x 3 matrix
Now take transpose of Matrix A and again find value of determinant of transpose of Matrix.
We can note that determinant of A is equal to determinant of A transpose i.e
which we wanted to prove.
Leave a Reply