Let $\displaystyle W=\{(x,y,z): x-y+2z=0\}$. Find the basis of $\displaystyle W$.

Please help me in solving it.

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- Mar 2nd 2012, 05:49 PMSuvadipbasis
Let $\displaystyle W=\{(x,y,z): x-y+2z=0\}$. Find the basis of $\displaystyle W$.

Please help me in solving it. - Mar 4th 2012, 12:29 PMgirdavRe: basis
Do you know what the dimension of $\displaystyle W$ is?

- Mar 4th 2012, 03:59 PMDevenoRe: basis
big hint: z = (1/2)(y - x), so any vector of the form (x,y,(y-x)/2) is in W.