Please help me to understand how to perform the interior point method and the jacobian matrix for the problem below.

2. Interior Point Method (30 points) Consider the following problem: min(x1 3)2 + (x2 1)2 s.t. x12 x2 5 0 S.t. x1 52 a) Write down the Lagrange function and KKT conditions for the Interior Point Method. b) For the equation system of these conditions for the Interior Point method, determine the J acobian matrix. [12 Consider the problem in question 2. a) Write down the KKT conditions for this problem for the Unlimited Point Algorithm. b) Determine the J acobian matrix for the resulting equation system