Proving the Complex Conjugate of a Matrix Determinant

[Kolahal Bhattacharya]

Homework Statement

show that det(A)=(detA)*= det(A$)
where * denotes complex conjugate and $ means transpose

Homework Equations

The Attempt at a Solution

Please help me to start the problem.I am not getting a way.

 

[Dick]

You are posting problems faster than you are solving them. The first half of your equality is simply not true unless det(A) is real. Please reconsider.

 

[radou]

The proof of det(A^T) = det(A) (at least the one I know about) is about using the definition of the determinant and the properties of permutations.

Further on, I'm not sure what you mean with det(A)=(detA)*.