作者gamed (Maiko)
看板Grad-ProbAsk
標題[理工] [線代]-四大空間找基底
時間Fri Jan 22 17:30:32 2010
(a) Find the SVD of A = ┌3 2 2┐
└2 3 -2┘
(b) Use (a) to find an orthogonal basis for each of the four subspaces
R(A), C(A), N(A), and N(A^T).
a小題會..
b小題要怎麼做 毫無頭緒XD
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1F：推 mdpming:奇異分解.=.= 01/22 18:06
2F：推 tony013139:高斯消去啊 N(A^T)=R(A)的正交互餘 01/22 22:43
3F：推 killerjoe:用u1,u2,...,ur形成R(A)的orthonormal basis 01/22 23:01
4F：→ killerjoe:用v(r+1),...,vn形成N(A)的orthonormal basis 01/22 23:03
5F：→ killerjoe:用u(r+1),...,um形成N(A^T)的orthonormal basis 01/22 23:04
6F：→ killerjoe:其中r=rank(A)=rank(A^TA) 01/22 23:05
7F：推 haha31:a會b不會有點怪= = 01/23 01:02
8F：→ winer8:為什麼我覺得N(A^T)和N(A)打反了?? 是我錯嗎 01/23 08:40