[線代] orthogonal complement

看板Math作者 (無法顯示)時間14年前 (2011/06/06 21:12), 編輯推噓1(101)
留言2則, 2人參與, 最新討論串3/4 (看更多)
find the orthogonal complement of the subspace of R^3 spanned by (1, 2, 1)^T and (1, -1, 2)^T ================================================================= 我這樣寫 [a] [1] [a] [ 1] <[b],[2]> = 0 <[b],[-1]> = 0 [c],[1] [c] [ 2] 解聯立 c = 3b [ a] [1] [0] span{[ b]} => span{[0], [1]} [3b] [0] [3] 解答是(-5, 1, 3)^T 請問我是什麼地方錯了? 謝謝!! -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 61.228.28.13

06/06 21:16, , 1F
c=3b 然後代回a+2b+c=0 => a=-5b
06/06 21:16, 1F

06/07 00:02, , 2F
謝謝!!
06/07 00:02, 2F
文章代碼(AID): #1DxD8z_z (Math)
文章代碼(AID): #1DxD8z_z (Math)