MAT423 - LINEAR ALGEBRA

Q3 a) - 2 3 A= 2 -3 3 8 Find a basis for the row space of A, a basis for the column space of A and rank A. b) Find a basis for the null space of A and nullity (A) 3b Consider W = { u, v, w, y } where u = (1,2,3), v = (0,1,2), w = (-2,0,1) and y = (-1,4,8) i) Show that W spans R3 . ii) Explain why W does not form a basis for R3