2. Consider the matrix A = 1 2 -3 4 1 3 1 -1 0 1 2 1 -2 1 6 1 6 1 1 3 i. ii. iii. Find the row space, R(A), and column space C(A) of A in terms of linearly independent rows and columns of A, respectively. Find the bases for R(A) and C(A) in 2 (i) Find dim (R(A)) and dim (C(A)) Find the rank (A) Find the basis and dimension of N(A) (N(A) is the solution space of the homogeneous system Ax = 0 ) iv. V. vi. If the system Ax = b is consistent where b = E find the complete solution in the form x = xp +xnwhere xp denotes a particular solution and Xn denotes a solution of the associated nonhomogeneous system Ax = 0