QUESTION 5 a) Let W = {r,s,t} be a set of vectors in Rwhere r = (1, 2, -1), S = (0,5, 2) and t=(2, -10). Determine whether W spans R. (5 marks) b) Consider the following row equivalent matrices A and B. 1 A= 1-25 8 0-17 1 3 -5 1 5 3 11 -197 1 1 7 - 135 3 and B 1 0 1 0 0 1 -2 0 0 0 1 0 0 0 0 3 --5 0 i) ii) Find the rank and the nullity of A. Find a basis for the row space of A. Find a basis for the column space of A. (2 marks) (3 marks) (3 marks) iii)