Linear Algebra, Find the subspace of a system

rooney

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Joined
Feb 9, 2008
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Find the subspaces of solutions for the given system:

x+2y-z=0
2x+4y-2z=0
-3z-6y+3z=0

Using Gaussian Elimination I found the solution x = r2-2r1, y=r1, z=r2

None of the other problems I've solved have more than one "r," so I don't know where to go from here. Any direction is greatly appreciated.
 
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