6. (9 marks) Consider the matrix 1 0 1 1 0 1 1 020 A = and the vector b = 21 1 3 1 100 1 1 (a) Construct the augmented matrix [A]b] and use elementary row operations to transform it to reduced row echelon form. (b) Find a basis for the column space of A. (c) Express the vectors V4 and V5 as linear combinations of the vectors in the basis found in (b). (d) Find a basis for the null space of A. (e) Find a vector c such that Ax = c has no solution.