[理工] 100交大光電工數

[shareing ( )]

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



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◆ From: 220.141.8.130
推 harrypotter2:(d)求T([1 0]^T)跟T([0 1]^T)然後行並列
→ harrypotter2:也就是抓R^2的標準基底出來轉換
→ harrypotter2:(e)先走w化為R^2標準基底路徑，再用(d)小題的解答
→ harrypotter2:成功跑到R^3的標準基底，然後再把基底換成v
→ shareing:不太懂e小題的說明
→ shareing:麻煩h大在解釋清楚一點嗎
→ shareing:V的Rank是3 W的Rank是2 想不出映射的代表矩陣