[理工] [線代]-線性映射

看板Grad-ProbAsk作者 (危機感)時間16年前 (2010/01/03 17:25), 編輯推噓1(100)
留言1則, 1人參與, 最新討論串7/12 (看更多)
1.let B be the basis of R^n consisting of the vectors v,v2,v3...,vn , and let I be some other basis of R^n , Is [v1]I,[v2]I,...,[vn]I a basis of R^n                    ﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏  as well? explain.   上式I為下標 請問這題如何解呢?  不知道[v1]I,[v2]I,...,[vn]I 這所代表的意思!? 2.Let Pn be the space of polynomials of degree at most n. Let the linear map L:P2 --> P1 be defined sa (Lp)(t) = (p(t)-p(0))/t . Find the matrix representation f L with respect to the bases {1+t , t+t^2 , 1+t^2} for P2 and {t , 1+t } for P1 請問這題可以直接映射解出來嗎? 例如 先同構 再 A[p2] = [p1] ... -1 就是不用 A = U LB 來解 謝謝 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 114.41.77.113

01/03 22:21, , 1F
[v1]I,[v2]I,..,[vn]I就是以I作基底來表示v,v2,v3...,vn
01/03 22:21, 1F
文章代碼(AID): #1BG6AVB0 (Grad-ProbAsk)
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文章代碼(AID): #1BG6AVB0 (Grad-ProbAsk)