Re: [線代] orthogonal complement

[mack (腦海裡依然記得妳)]

※ 引述《mqazz1 (無法顯示)》之銘言：
: 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)
: 請問有人知道這個該怎麼證嗎?
: 謝謝!!
(x1, x2, x3)^T and (y1, y2, y3)^T 屬於S
                  ⊥
If (a1,a2,a3)屬於S   <=> (a1,a2,a3)˙(x1, x2, x3)^T=0 and
                         (a1,a2,a3)˙(y1, y2, y3)^T=0
                     <=> (a1,a2,a3)屬於N(A)

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推 mqazz1      :謝謝!