Thread: In need of someone to check my work.

So I just wanted to make sure I'm correct in my thinking for this problem.

I'm trying to find a basis for the subspace W = { x in }

With this, we know x = -y /2 so therefore, a basis to the subspace =




is my work correct?

Looks good.

This subspace consists of all vectors of the form ,

so the vectors and span the subspace. Since they are obviously linearly independent, they form a basis for the subspace.

Originally Posted by topspin1617

Looks good.

This subspace consists of all vectors of the form ,

so the vectors and span the subspace. Since they are obviously linearly independent, they form a basis for the subspace.

My thoughts exactly. Thanks a lot

By the way, if you don't like fractions you could also say that y= -2x so that
and are basis vectors.