Determine whether the set represents a line, a plane, or a hyperplane in R⁴. Also, provide a basis for the subspace.
a) Line; {(1, 0, 0, 0)}
b) Plane; {(1, 1, 0, 0), (0, 0, 1, 1)}
c) Hyperplane; {(1, 1, 1, 1)}
d) Plane; {(1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 1, 0)
