Exercise 2.8.5

Question

Prove that if $A$ and $B$ are similar matrices then trace $A = $ trace $B$. (	extit{Hint:} recall how trace$(XY)$ and trace$(YX)$ are related.)

Jing Huang · Accepted Answer

\begin{proof}
trace$(A)$ = trace$(Q^{-1} B Q)$ = trace$(Q^{-1} Q B)$ = trace$(B)$. (Note that trace($AB$) = trace($BA$) as long as $AB$, $BA$ can be performed.)
\end{proof}

Exercise 2.8.5

Answers

Comments

Exercise 2.8.5

Answers

Comments

Add answer