Question: 3) Let E = { (x, y, z) E IR Ix + y +z = 0} be a subset of IR a. Show that

3) Let E = { (x, y, z) E IR Ix +

3) Let E = { (x, y, z) E IR Ix + y +z = 0} be a subset of IR a. Show that E is a vector subspace of IR. b. Give a base of E and determine dimE.

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