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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