Consider the system of equations $x-2y+3z=-1,x-3y+4z=1$ and $-x+y-2z=k$

Statement 1 : The system of equations have no solution for $k\ne 3$

Statement 2 : The determinant $\left|\begin{array}{ccc}1& 3& -1\\ -1& -2& k\\ 1& 4& 1\end{array}\right|\ne 0fork\ne 3$

Statement 1 is true and statement 2 is true and statement 2 is not correct explanation for statement 1

Statement 1 is true and statement 2 is true and Statement 2 is correct explanation for statement 1

Statement 1 is false and Statement2 is true

Statement 1 is true and Statement 2 is false