Recent content by reeeky2001

So, I show that a(1,-1,0)+b(0,1,-1)=(x,y,z) by a=x, b-a=y and -b=z. Then b=-z, a=-y-z, a=x, so x=-y-z? Or did I misunderstand?

Question: In R3, show that (1,-1,0) and (0,1,-1) are a basis for the subspace V={(x,y,z) \in R3: x+y+z=0} Attempt: By def of a basis, the vectors (1) must be linearly independent and (2) must span V. 1. For LI, show that if a(1,-1,0) + b(0,1,-1) = (0,0,0), then a=b=0...