2x2 + 5x3 = 9 2x1 + x2 + x3 = 9 3x1 + x2 = 10 (a) Compute Determinant using Gauss Elimination using partial pivoting (b) Also find the values of the variables using the same technique. Problem 02: (Hand Calculation) Solve the following system of equations using LU decomposition with partial pivoting: 2x1 - 6x2 X3 = -38 --3x1 - x2 + 7x3 = -34 -8x1 + x2 - 2x3 = -20 Problem 03: (Hand Calculation) The following system of equations is designed to determine concentrations (the c's in g/m3) in a series of coupled reactors as a function of the amount of mass input to the right hand sides in a day