作者sm008150204 (风切羽狂)
看板Math
标题[线代] eigenvector
时间Sun Feb 13 18:24:08 2011
Let A,B be nxn matrix in C , and AB = BA
Show that A and B has same eigenvector.
i.e. Av = rv and Bv = sv for some vetor v
拜托拜托提示我一下，整个毫无头绪。
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1F：推 ilovecs34 :你假设Av=rv 则 BAv=ABv=rBv 所以v是B不变子空间 02/13 18:29
2F：→ ilovecs34 :你用不变子空间的概念试试看吧 02/13 18:29
3F：→ sm008150204 :好 我试试看 感谢你的提示 02/13 18:32