K kickup New member Joined Nov 7, 2010 Messages 1 Nov 7, 2010 #1 let U=Span{u,v,w} be the subspace spanned by u, v, w where ...(0).....(4)......(2) u=(3), v=(8), w=(7) ...(1).....(2).....(2) find a subset of B so that B is a base for U
let U=Span{u,v,w} be the subspace spanned by u, v, w where ...(0).....(4)......(2) u=(3), v=(8), w=(7) ...(1).....(2).....(2) find a subset of B so that B is a base for U
D DrSteve Banned Joined Nov 14, 2010 Messages 87 Nov 14, 2010 #2 Put these vectors into a matrix and row reduce. You will see that w can be written as a linear combination of u and v. More specifically, w = u + (1/2)v This means that Span{u,v,w} = Span{u,v}, and thus B = {u,v} is a basis for U.
Put these vectors into a matrix and row reduce. You will see that w can be written as a linear combination of u and v. More specifically, w = u + (1/2)v This means that Span{u,v,w} = Span{u,v}, and thus B = {u,v} is a basis for U.
