Part 2 - Linear independence, Intersection of subspaces Consider the following two subspaces in R*: where and where S1 = Span {Wla W2, W3, W4} 1 4 1 -1 2 1 0 1 wl_ _1 :W2 1 '}WS_ 2 ,W4 2 3 8 2 -1 Sz = span {z1, z2, 23} 2 1 3 4 0 |4 a 2 8 2 . Show that the subspace S; is not equal to R*. Find a maximal linearly independent set of vectors that spans the subspace S; and determine whether the subspace S; is a hyperplane or a plane. . Are either of vectors z; and z3 in S;7 Explain why or why not. . Let a = 6 in z; and determine the dimension of Ss. . Let @ = 5 in z; and find the dimension of subspace S; N Ss