numerical methods

Calculate your factor f as the very first thing in answering hw questions. f= max(0,15, (last two digits of your id)/100) 99 Q1. Solve the following system of linear equations using Cholesky factorization. (Solution; x1=1, X2=0, X3--1) 20-11 A = 10 3 5 b = L-1 5 10 Q2. Solve the following linear system (roundUp the right hand side to the nearest integer after multiplying with f, show TWO iterations, start with XI= 1, X2=3, X3=3) using: a. Gaus-seidel method with relaxation where lambda=0.5 b. Jacobi Method 20-11 A = 0 3 5 b=8f 1-1 5 10 [101] Q3. Solve the following nonlinear system of equations using Newton-Raphson method. Apply TWO iterations starting with solution x=1, y=1. (After multiplying with f, roundUP to find the coefficients) (28)x2 - (38)x?y2 = -10 (47)y2 + xy* = 18 Q4. Find the largest Eigen value of the following matrix using power method. Apply Two iterations and start with x1=1, X2=1, and X3=1. (RoundUP to nearest integer after multiplying with f) [2010-10 A=0 30f5f 50 1-10 10