Consider the vectors u (1,0,1), v (5,5,0) and w (2,5, -3) in R3 (a) Find all numbers a, b and c such that (b) Prove that u, v and w are linearly dependent. (e) Let A be the 3 x 3 matrix whose columns are u, v and w. Let b e R be a vector. Suppose that the linear system with augmented matrix [Ajb] has at least one solution. Prove that there must be infinitely many solutions.