If A and B are similar, and Av=0,then Bv=0 as well
此題答案給False
若A B皆可逆 有相同解沒錯 但A B 不可逆之下 我找不太到反例
請高手提供?
2
Let A ba an n*n matrix with entrie over R such that A = -I. If B is
2
another n*n matrix with entries over R such B = -I, then A and B are
similar
此題答案給False 但我覺得是True 解答寫A= [i 0] ... 但題目說over R 明顯
[1 i]
是錯的吧
-1
我認為 設A~B則 B = P A P
2 -1 2 -1
所以 -I = B = P A P = P (-I) P = -I 所以相似吧 對嗎?
請高手指導! 謝謝!
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※ 編輯: yesa315 來自: 140.127.208.96 (12/05 17:25)