1 6. Consider the matrix A = 0 1 2 3 2 2 4 5 8 0 0 0 2 4 (a) Factor A into A = LR where L is the lower triangular matrix and R is the triangle echelon form. (b) Find a basis for C(A). (c) Find a basis for R(A). (d) Find a basis for N(A). (e) Find a basis for N(AT). (f) Write the dimension of each of these subspace.