作者nowar100 (抛砖引玉)
看板Grad-ProbAsk
标题[理工] [LA]-线性转换(不同基底)
时间Thu Sep 3 19:12:30 2009
题目：
n
Let A1 be the matrix representation of a linear transformation L from R to
n n
R with respect to the basis B1. Let B2 be another basis of R , and let P be
the transition matrix corresponding to the change of basis from B1 to B2,
What is the matrix representation of L with respect to the basis B2 ?
我的想法：
B2 B1 -1
[L] = [I] [L] [I] = P A1 P
B2 B1 B1 B2
-1
可是解答是 P A1 P ，我不懂我错在哪，麻烦大家了
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※ 编辑: nowar100 来自: 220.135.233.128 (09/03 19:12)
1F：推 degia220:刚我眼残 删了 所以我也觉得题目怪怪的 是小黄书上的吗? 09/03 19:58
2F：→ nowar100:是交大96年资联数学 09/03 20:16
3F：→ nowar100:所以我在想可能是解答有错 09/03 20:21
4F：推 yesa315:我手上林纬的解答跟你的想法一样 P A1 P(-1) 09/03 21:44
5F：推 gensim:是解答错了.... 09/04 22:36
6F：→ nowar100:谢谢大家 09/08 14:20