Homework Sourse6 Let u v and w Determine which of the following
6. Let u = [ ] , v = [ ] , and w [ ] . Determine which of the following in FALSE. (a) {u, v} is L - I. (b) u +4v = w. (c) u is a linear combinaion of v and w (d) y is a linear combinaion of u and w (e) none of these ![6. Let u = [ ] , v = [ ] , and w [ ] . Determine which of the following in FALSE. (a) {u, v} is L - I. (b) u +4v = w. (c) u is a linear combinaion of v and w (](/WebImages/3/6-let-u-v-and-w-determine-which-of-the-following-974952-1761500081-0.webp "6. Let u = [ ] , v = [ ] , and w [ ] . Determine which of the following in FALSE. (a) {u, v} is L - I. (b) u +4v = w. (c) u is a linear combinaion of v and w (")
Solution
U is a linear combination of v and w is false as we see that u+4v =w
More over {u,v} is linearly independent .
