[線代] 求Kernel及ColumnSpace(中央資工)
打字感覺不太好表達 所以都用拍的@@ 檢查清晰度應該是ok!!
http://imgbox.com/aaqWJNcp
題目再打一次:
Without multiplying matrices, find the four fundamental subspaces, i.e.,
column space (image) and null space (kernel) of A and A^T, if you know
A = (如圖)
ans:
R(A) = {(1,0,5)^T,(0,1,-3)^T}
N(A) = {(-3,4,0,0)^T,(-1,0,-12,4)^T}
R(A^T) = {(4,3,0,1)(0,0,1,3)}
N(A^T) = {(5,-3,-1)}
花了頗久時間解這題
邊參考課本邊寫
用補空間的概念去算
結果計算寫得落落長↓
http://imgbox.com/aacX0t1v
但是這題只有12分... 總覺得是我哪邊概念不熟沒用到的關係?
想請問還有更快的解法嗎
或者哪裡概念有問題、錯很大、都在亂掰之類
墾請指點迷津m(_ _)m
算到現在還是好怕自己整體觀念都想錯...
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※ 編輯: MaxMagician 來自: 111.255.178.22 (01/21 06:56)
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