7161841 (2)

7161841 (2) - And ai not =0.where...

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3. We prove it by contra positive method. It is given that v1,v2,…….vk is independent and we have to prove v1,v2,……………v(k-1) is also independent. Let v1,v2,……………v(k-1) is dependent ,so there exist some ai such that a1v1+a2v2+………a(k-1)v(k-1) =0
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Unformatted text preview: And ai not =0.where 1<=i<=k-1. This contradict our assumption that v1,v2,. .vk is independent because we can find some ai not =0 from a1v1+a2v2+a(k-1)v(k-1)+akvk =0....
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