the two R-subspacesU,V \in R^4are defined by: U := \left \{ x =(x_1,x_2,x_3,x_4)^T \in R^4 : x_1 = x_2 + x_3 + x_4 \right \} V := \left \{ x =(x_1,x_2,x_3,x_4)^T \in R^4 : x_1 + 2 x_2 = x_3 + 2x_4 \right \} a) give a base for each of U and V. b) give a basis forU \cap V and prove their basis property
