Consider the system of equationsx+2y+3z=02x-y=02+kz=0.a) Calculate the determinant of the coefficient matrix using row operations.b) For which value(s) of k (if any) does the system have no solution?e) For which value(s) of k (if any) does the system have exactly one solution?d) For which value(s) of k (if any) does the system have infinitely many solutions?