Linearly Independent Sets and Spans in R4

[grassstrip1]

Hey everyone I just had a quick thought that was bothering me. For a set to be a basis it must be linearly independent and span the vector space. I've seen cases however of only two vectors forming a basis for R⁴ I don't see how two vectors could span 4 space or am I missing something.

Thanks!

 

[Mark44]

Hey everyone I just had a quick thought that was bothering me. For a set to be a basis it must be linearly independent and span the vector space. I've seen cases however of only two vectors forming a basis for R⁴ I don't see how two vectors could span 4 space or am I missing something.

Thanks!

A set of two basis vectors couldn't possibly span R⁴. Are you sure that what you saw wasn't talking about a subspace of R⁴?