作者nowar100 (拋磚引玉)
看板Grad-ProbAsk
標題[理工] [LA]-線性轉換(不同基底)
時間Thu Sep 3 19:12:30 2009
題目:
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 ,我不懂我錯在哪,麻煩大家了
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◆ From: 220.135.233.128
※ 編輯: nowar100 來自: 220.135.233.128 (09/03 19:12)
推 degia220:剛我眼殘 刪了 所以我也覺得題目怪怪的 是小黃書上的嗎? 09/03 19:58
→ nowar100:是交大96年資聯數學 09/03 20:16
→ nowar100:所以我在想可能是解答有錯 09/03 20:21
推 yesa315:我手上林緯的解答跟你的想法一樣 P A1 P(-1) 09/03 21:44
推 gensim:是解答錯了.... 09/04 22:36
→ nowar100:謝謝大家 09/08 14:20