2. Part 2 - Linear independence, Intersection of subspaces I Consider the set of vectors in R5; B:l = {wt-1, m2, 1:13, 1114,1151 we} where 1 1 3 2 5 1 1 1 1 1 4 U ml = 2 _. 1112 = 2 , 1113 = 1 , m4 = l] , 112;, = 1 -. mt; = 1 4 1 2 3 11 2 1 1 0 l 3 1 Show Bl is a linearly dependent set. Then: demonstrate the conclusion of Theorem 1.2.2: Find a maximal linearly independent set B; of vectors from 311 and show that the vectors from B] that are NOT in B; set are contained in the span of B{ (and hence, that span Bl = span Bi). What is the dimension of span Bl? 0 Consider the set B? = {21:32:23a 34525} where 5 2 l 2 U 2 1 2 4 1 m: 1 , :2 = l] , c3 = 1 , 24 = 2 , z", = 2 7 l] l 4 3 1 1 0 1 1 I Find Q the vectors in the intersection span Bl I\"! span 32. Show that this is a subspace