Question: (Variation on 5.4.3 ND) Define V to be a subset of R' defined by X1 V = X2 X1 + X2 = 0 X3 (a)

(Variation on 5.4.3 ND) Define V to be a subset of R' defined by X1 V = X2 X1 + X2 = 0 X3 (a) Prove that V is a subspace of the real vector space R' with the usual vector addition and scalar multiplication. (b) Find a basis for V and prove it is a basis

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