# basis

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• March 2nd 2012, 05:49 PM
Suvadip
basis
Let $W=\{(x,y,z): x-y+2z=0\}$. Find the basis of $W$.

Please help me in solving it.
• March 4th 2012, 12:29 PM
girdav
Re: basis
Do you know what the dimension of $W$ is?
• March 4th 2012, 03:59 PM
Deveno
Re: basis
big hint: z = (1/2)(y - x), so any vector of the form (x,y,(y-x)/2) is in W.