- #1
jordan123
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Homework Statement
Says, The set W = {(x,y,z,w) : x+z=0, 2y+w=0} is a subspace of R^4. Find a basis for W, and state the dimension.
The Attempt at a Solution
What I did:
W= {(-z,-w/2,z,w): z,w are in R}
= {z(-1,0,1,0) + w(0,-1/2, 0, 1)}
= span {(-1,0,1,0), (0,-1/2,0,1)}
(-1,0,1,0), (0,-1/2,0,1) is LI, because not a scalar multiple. Basis has dimension 2.
I got this wrong.
What is wrong? I guess I could have used the other variables, x and y, instead of z,w Would that have been correct? Or should I go to my teacher and get some marks, brought me down 7 percent?
Thanks
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