問題詳情

【題組】

(ii) (10 %) Suppose that A,


and Tr
(A) denotes the trace of A (i.e.,the sum of all the diagonal elements of A).
(1)Is Tr(AX)≥0 true?
(2)Is it true that if Tr(AX) = 0, then

(zero matrix)?
Prove or disprove your answer.

參考答案

答案:C
難度:適中0.5
統計:A(1),B(0),C(1),D(0),E(0)