[理工] 100交大光電工數

看板Grad-ProbAsk作者 ( )時間12年前 (2011/12/05 18:31), 編輯推噓1(106)
留言7則, 2人參與, 最新討論串1/2 (看更多)
最後一題 Let V = {v1 v2 v3} be the basis of R^3 where [1] [-1] [0] v1 = [0] v2 = [ 2] v3 = [1] [1] [ 2] [2] and W = {w1 w2} be the basis of R^2 with [3] [5] w1 = [1] w2 = [2] Let T:R^2 -> R^3 be a linear transformation such that [3] [1] [5] [1] T [1] = [0] and T[2] = [0] [0] [1] [1] (c)小題 Find T[0] ok But (d)小題 Find the matrix of T relative to the standard of R^2 -> R^3. (e)小題 Find the matrix of T relative to W and V. 不會做 請大家給我提示 謝謝 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 220.141.8.130

12/06 05:17, , 1F
(d)求T([1 0]^T)跟T([0 1]^T)然後行並列
12/06 05:17, 1F

12/06 05:19, , 2F
也就是抓R^2的標準基底出來轉換
12/06 05:19, 2F

12/06 05:21, , 3F
(e)先走w化為R^2標準基底路徑,再用(d)小題的解答
12/06 05:21, 3F

12/06 05:22, , 4F
成功跑到R^3的標準基底,然後再把基底換成v
12/06 05:22, 4F

12/06 18:32, , 5F
不太懂e小題的說明
12/06 18:32, 5F

12/06 18:33, , 6F
麻煩h大在解釋清楚一點嗎
12/06 18:33, 6F

12/06 18:37, , 7F
V的Rank是3 W的Rank是2 想不出映射的代表矩陣
12/06 18:37, 7F
文章代碼(AID): #1Et9rrPD (Grad-ProbAsk)
文章代碼(AID): #1Et9rrPD (Grad-ProbAsk)