※ 引述《nowar100 (拋磚引玉)》之銘言:
: 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
[I]: B1 -> B2 以及 [I]: B2 -> B1 互為反矩陣
所以解答上的 P 是指B2送到B1的基底轉換矩陣
而原PO解答的 P 是指B1送到B2的基底轉換矩陣
所以要我說的話,我覺得原PO的答案才是對的
因為題目有定義P是B1送B2的基底轉換矩陣
我自己也還在複習,如果有錯請大家糾正
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