For each of the following subsets of R 3, either prove that it is a subspace or prove that it is not a subspace. U = {(x, y, z) R 3 | xyz = 0} K = {(x, y, z) R 3 | 2x - y = 0} W = {(x, y, z) R 3 | x - y + z > 0}
Show transcribed image textFor each of the following subsets of R 3, either prove that it is a subspace or prove that it is not a subspace. U = {(x, y, z) R 3 | xyz = 0} K = {(x, y, z) R 3 | 2x - y = 0} W = {(x, y, z) R 3 | x - y + z > 0}