[理工] 矩陣 求基底
Let
V1=[2 6 0 -2]
V2=[-1 -3 3 1]
V3=[3 9 -2 -3]
V4=[0 4 -5 1]
The subspace W of R^4 is spanned by {V1,V2,V3,V4}
Find a basis for the subspace W.
┌ 2 6 0 -2┐
│-1 -3 3 1│
│ 3 9 -2 -3│
└ 0 4 -5 1┘
R1^(1/2) R12^(1) R13^(-3) R24 R3^(-1/2) R34^(-3)
得到
┌ 1 3 0 -1┐
│ 0 4 -5 1│
│ 0 0 1 0│
└ 0 0 0 0┘
請問基底是{V1,V3,V4}嗎？還是{V1,V2,V4}
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