[線代] linearly independent

看板Math作者 (無法顯示)時間14年前 (2011/05/05 23:43), 編輯推噓2(200)
留言2則, 2人參與, 最新討論串2/4 (看更多)
let x1, x2 and x3 be linearly independent vectors in R^n and let y1 = x1 + x2 y2 = x2 + x3 y3 = x3 + x1 are y1, y2, and y3 linearly independent? 請問這個敘述是對的還是錯的? 應該怎麼證明呢? -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 61.228.26.160

05/05 23:46, , 1F
用 k1*y1+k2*y2+k3*y3=0 證明係數都是零就好
05/05 23:46, 1F

05/06 00:01, , 2F
同樓上,by定義即可
05/06 00:01, 2F
文章代碼(AID): #1DmiMfIG (Math)
文章代碼(AID): #1DmiMfIG (Math)