作者mack (脑海里依然记得你)
看板Math
标题Re: [线代] orthogonal complement
时间Sun Jun 5 00:31:12 2011
※ 引述《mqazz1 (无法显示)》之铭言：
: let S be the subspace of R^3 spanned by the vectors x = (x1, x2, x3)^T
: and y = (y1, y2, y3)^T
: [x1 x2 x3]
: let A = [y1 y2 y3]
: ⊥
: show that S = N(A)
: 请问有人知道这个该怎麽证吗?
: 谢谢!!
(x1, x2, x3)^T and (y1, y2, y3)^T 属於S
⊥
If (a1,a2,a3)属於S <=> (a1,a2,a3)˙(x1, x2, x3)^T=0 and
(a1,a2,a3)˙(y1, y2, y3)^T=0
<=> (a1,a2,a3)属於N(A)
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1F：推 mqazz1 :谢谢! 06/05 18:57