Thread: Linear algebra plane span

Let and . For what value(s) of h is b in the plane spanned by and ?

Originally Posted by Linnus

Let and . For what value(s) of h is b in the plane spanned by and ?

You are asking for what does there exists real numbers so that ?

This leads to the equations,




We want this system to be consistent i.e. it has solutions.
Convert this equation into a matrix,


Now use Gauss-Jordan elimination to reduce it you should get on the bottom row something like: .
Then in order for it to be consider that expression of needs to be equal to zero.