作者mqazz1 (无法显示)
看板Math
标题[线代] linearly independent
时间Thu May 5 23:43:35 2011
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?
请问这个叙述是对的还是错的?
应该怎麽证明呢?
--
※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 61.228.26.160
1F：推 MaaLong :用 k1*y1+k2*y2+k3*y3=0 证明系数都是零就好 05/05 23:46
2F：推 WJAider :同楼上，by定义即可 05/06 00:01