True or False: (0,0,4) ∈ W⋂Z 

True or False: W+X=R^3

True or False: W+X=Z

True or False: W⊕X=Z

True or False: Y+Z=R^3
 

Transcribed Image Text:

The subspaces W, X, Y, Z of R^3 W = {(0,0, a) e R³ : a e R} X = {(a, a, a) e R³ : a € R} Y = {(a, b,c) e R° : a + b +c = 0} Z = {(a, a,b) e R³ : a, b e R} %3D 3 The subspaces W, X, Y, Z of R^3 W = {(0,0, a) e R³ : a e R} X = {(a, a, a) e R³ : a € R} Y = {(a, b,c) e R° : a + b +c = 0} Z = {(a, a,b) e R³ : a, b e R} %3D 3