Given the matrix X = 1 0 0 -1 0 3 -1 -2 0 2 0 2 1 0 -1 and consider the linear transformation Vx : R5 -> R3 with the given Vx (u) = Xu, for u ∈ R5 (a) With the range of Vx, what is the basis? (b) Find the rank of Vx. (c) Find the nullity of Vx.

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A: u=2, 1, 0, 1, -1  &  v=-2, 3, 1, 0, 2

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A: From the given information we get:

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