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**Unformatted text preview: **b 4 = 2 1 1 6 5. Consider the set W of vectors of the form x y-x z . Is W a subspace of R 4 . If so prove it, if not explain why. 6. Let T : R 3 R 3 be a linear transformation such that T ( x,y,z ) = (7 x,x + z, 3 x-z ). Find the rank of T and the dimension of Nul ( T ). 1...

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