Consider the vector space V = C2 with scalar multiplication over the real numbers R and let W and U be the subspaces of V defined by W = {(Z1, Z2) E V: Z2 = Z1 + 2Z1} and U = {(z1, Z2) E V: Z2 = Z1 -...

Extracted text: Consider the vector space V = C2 with scalar multiplication over the real numbers R and let W and U be the subspaces of V defined by W = {(Z1, Z2) E V: Z2 = Z1 + 2Z1} and U = {(z1, Z2) E V: Z2 = Z1 - Z1}. 2.1 Find a basis for WnU. 2.2 Express (Z1, Z2) E V as (zi, Z2) = W + u where w e W and u e U. 2.3 Explain whether V = We U.