Match the following and choose the correct combination

Group $$-$$ $${\rm I}$$
$$E.$$ Newton $$-$$ Raphson method
$$F.$$ Runge-Kutta method
$$G.$$ Simpson's Rule
$$H.$$ Gauss elimination

Group $$-$$ $${\rm II}$$
$$(1)$$ Solving non-linear equations
$$(2)$$ Solving linear simultaneous equations
$$(3)$$ Solving ordinary differential equations
$$(4)$$ Numerical integration method
$$(5)$$ Interpolation
$$(6)$$ Calculation of eigen values