SOLUTION: Consider the following subspace of R^3: W={(x,y,z)belong to R^3|2x+2y+z=0, 3x+3y-2z=0,x+y-3z=0} The dimension of W is

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Question 893904: Consider the following subspace of R^3:
W={(x,y,z)belong to R^3|2x+2y+z=0, 3x+3y-2z=0,x+y-3z=0}
The dimension of W is

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!



Use row operations to show that rows 1 and 3 and rows 2 and 3 lead to .


That leaves you with


So only 1 independent choice of variables.


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