Question: 1. Determine if the following subsets are subspaces. For each subspace, determine its dimension. (a) U = {(x, y, z) (R3 : x + y

1. Determine if the following subsets are subspaces. For each subspace, determine its dimension. (a) U = {(x, y, z) (R3 : x + y - z = 0 and 2 + y - z =0}. (b) U = {(x, y, z) ( R3 : x2 + y2 = 0} (c) U = {pEP2(R) : p(0) = p(1) = 1} (remember that P2(R) denotes the set of polynomials of degree at most 2)

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