1. ## Property of Determinant

How do I prove that

the determinant of the conjugate of a square matrix is equal to the conjugate of the determinant of the matrix?

I tried using det(A)=det(AT) and conjugate transpose, but don't know how to arrive at the conjugate of the determinant...

Thanks

2. Originally Posted by JohnLeee
How do I prove that

the determinant of the conjugate of a square matrix is equal to the conjugate of the determinant of the matrix?
Hint: determinant is a polynomial function.