作者yesa315 (XD)
看板Grad-ProbAsk
标题[理工] [线代]方阵的相似
时间Sat Dec 5 17:22:10 2009
If A and B are similar, and Av=0,then Bv=0 as well
此题答案给False
若A B皆可逆 有相同解没错 但A B 不可逆之下 我找不太到反例
请高手提供?
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
此题答案给False 但我觉得是True 解答写A= [i 0] ... 但题目说over R 明显
[1 i]
是错的吧
-1
我认为 设A~B则 B = P A P
2 -1 2 -1
所以 -I = B = P A P = P (-I) P = -I 所以相似吧 对吗?
请高手指导! 谢谢!
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