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for b part, show that(x1,y1) (x2,y2) is linearly independent, what should i do to prove it?
linearly independent
2007-12-04 6:15 am
回答 (1)
2007-12-04 6:41 am
✔ 最佳答案
你在(a) part會計到λ=4 或 -1λ=4時可設(x1,y1)=(1,-1)
λ=-1時可設(x2,y2)=(-3,2)
現在若c1(1,-1)+c2(-3,2)=(0,0)只有c1=c2=0一組解﹐則(x1,y1) (x2,y2) 是 linearly independent
c1(1,-1)+c2(-3,2)=(0,0)
(c1-3c2,-c1+2c2)=(0,0)
解得c1=c2=0
所以(x1,y1) (x2,y2) 是 linearly independent
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原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20071203000051KK04227