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

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eliassaab
 3 years ago
Best ResponseYou've already chosen the best response.1\[ det( A^{1} B A) =det(A^{1}) det(B) det(A)=\frac 1 {det(A)}det(B) det (A) =det(B) \] Can you do the trace?

eliassaab
 3 years ago
Best ResponseYou've already chosen the best response.1Use that trace(MN)=trace(NM)

eliassaab
 3 years ago
Best ResponseYou've already chosen the best response.1\[ trace(A^{1} B A)=trace( A^{1} A B)=trace(B) \]
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