A 1 2 3 2 3 5 3 2 5 1 3 4 2 2 4 b vector 3 3 6 A 3 2 2 b

A = [1 2 3 2 3 5 3 2 5 1 3 4 2 2 4], b vector = [3 3 6] A = [3 2 2], b vector = [4 2 1]

Solution

(c) Since the number of unknowns are more than the number of equations which can be formed by the matrix . The given system is consistent with infinitely many solutions .The reduced row echelon form of the augmented matrix is

(d) Since the number of unknowns are less than the number of equations , it be said that the system is inconsistent and hence does not have any solutions . The reduced row echelon form of the augmented matrix is

1 0 -5 3 -2 -3 0 1 4 -1 2 3 0 0 0 0 0 0