7161841 (1)

7161841 (1) - a1v1+a2v2+a(k-1)v(k-1) =0 and not all ai not...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
3. We prove it by contra positive method. Let the statement is not true that is if v1,v2,…….vk is independent then v1,v2,……………v(k-1) is dependent. Since v1,v2,……………v(k-1) is dependent then
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: a1v1+a2v2+a(k-1)v(k-1) =0 and not all ai not =0 Say ai not =0 where 1<i<=k-1. This contradict the assumption that v1,v2,. .vk is independent as we get one scalar ai which is not = 0....
View Full Document

Ask a homework question - tutors are online