作者a12548 (smallA)
看板Grad-ProbAsk
標題[問題] 線代
時間Thu Mar 19 16:11:17 2009
true or false
1.two eigenvectors corresponding to the same eigenvalue are always
linear independent
2.an n*n matrix wuth n linearly independent eigenvectors is invertible
3.if V is a nonzero finite-dimension vector spaces , and if every set of
p elements in V fails to span V , then dim(V)>p
4.if V is a nonzero finite-dimension vector spaces , and there exits a
lineaerly independent ste{v1,v2,...,vp} in V, then dim(V)>p
可以順便解釋一下嗎？感謝！！
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1F：→ ssccg:F 不一定，F 是可對角化跟可逆無關，T ，F ≧才對 03/19 16:15
2F：→ SPYKER:2.with 03/19 16:34
3F：→ a12548:THX 03/19 18:34