Thread: Linear Dependance/Independance

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.

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..