# Math Help - basis

1. ## basis

Let $W=\{(x,y,z): x-y+2z=0\}$. Find the basis of $W$.

Please help me in solving it.

2. ## Re: basis

Do you know what the dimension of $W$ is?

3. ## Re: basis

big hint: z = (1/2)(y - x), so any vector of the form (x,y,(y-x)/2) is in W.