[理工] [線代]-四大空間找基底

[gamed (Maiko)]

  (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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推 mdpming:奇異分解.=.=
推 tony013139:高斯消去啊 N(A^T)=R(A)的正交互餘
推 killerjoe:用u1,u2,...,ur形成R(A)的orthonormal basis
→ killerjoe:用v(r+1),...,vn形成N(A)的orthonormal basis
→ killerjoe:用u(r+1),...,um形成N(A^T)的orthonormal basis
→ killerjoe:其中r=rank(A)=rank(A^TA)
推 haha31:a會b不會有點怪= =
→ winer8:為什麼我覺得N(A^T)和N(A)打反了?? 是我錯嗎