11 2 Exercise 4 Let A = U 2 2 . U 1 1 1. What is the sure nf the column 1.ireeters of A? Give then a. non-zero vector u E R3 such that An = . 2. Let E := {x E R3|Ax = K}. Show that E is a. subspace of R3 of dimension 2 and nd a basis {V1 w} of E. 3. Show that {'1: v,w} is a. basis of R3. 4. Let n E N. Compute A\"u, Anv and A\"w in terms of u,v, w 5. Use Question 3 and 4 to deduce then;I for every n E N, A\" = A