Can someone please help me out with this one? Find basis for the set of vectors in R^3 in the plane 2x+y-3z=0 Thanks a lot if you can help out!
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Originally Posted by jkong Can someone please help me out with this one? Find basis for the set of vectors in R^3 in the plane 2x+y-3z=0 Thanks a lot if you can help out! A general element of the vector subspace is (x, 3z - 2x, z). Note that (x, 3z - 2x, z) = x (1, -2, 0) + z (0, 3, 1). So one possible basis is ......
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