experimentX 2 years ago Show that the determinant and trace of Matrix remains invariant under similarity transformation

1. eliassaab

$det( A^{-1} B A) =det(A^{-1}) det(B) det(A)=\frac 1 {det(A)}det(B) det (A) =det(B)$ Can you do the trace?

2. eliassaab

Use that trace(MN)=trace(NM)

3. eliassaab

$trace(A^{-1} B A)=trace( A^{-1} A B)=trace(B)$

4. experimentX

thanks ... prof