Let u and v be distinct vectors in a vector space V. Show that {u,v} is linearly dependent if and only if u or v is a multiple of the other.
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Originally Posted by leungsta Let u and v be distinct vectors in a vector space V. Show that {u,v} is linearly dependent if and only if u or v is a multiple of the other. If is inearly dependent it means where are not both zero. WLOG say then . And that is a multiple of the other.
perfect!! Thanks alot! Your help is much appreciated..
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