Recent content by jhamm11

So to show that 0 εW, do i plug (0,0,0) into z=y-2x? And if I was given any arbitrary vector I should just be able to plug it into z=y-2x correct? I am not given any vectors though, just what is shown. I cannot quite wrap my head around this.

Also I just realized that I mixed up x and y in when I placed them in U and V, but are the steps still correct?

εHomework Statement Let W = R3 be the set W = {(x,y,z)|z=y-2x}. Show that W is a subspace of R3 Homework Equations From the equations my teacher gave me I know that if W is to be a subspace it needs to follow: 1.) U,VεW then (U + V)εW, 2.)UεW and K(random constant)εW then KUεW...