Given the set of equations: x + 2y + 3z = Ax 3x + y + 2z = Ay 2x + 3y + z = Az solving the system of equations, (1-A)x + 2y + 3z = 0 3x + (1-A)y + 2z = 0 2x + 3y + (1-A)z = 0 Hence, coefficient matrix P= [ 1-A 2 3 ] 3 1-A 2 2 3 1-A For non-zero solution of system of equations , rank of matrix P must be less than 3