Question 940080: w={(x,y): x=3y=0} , v=R square
is w a subspace of v?
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! Remember the definition of a subspace.
Contains the zero vector of R2.
If U and V are in w, U+V is in w.
For each scalar a, if U is in w, aU is in w.
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w fails the first criteria, since w is a single point (3,0), the zero vector is not in w.
So no w is not a subspace of R2.
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