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Using the Cholesky algorithm, solve the following linear equation system for the unknown vector [x]. [A][x] = [b] where, 434 B 2 -365 1 = [Al-45107\" and [b]; 31725 02; A linear equation system is given below. 10 -1 2 [A] -1 11 -1 NO 2 -1 10 -4 and [b] = 0 3 -1 8 WWVID a) Solve the system with Jacobi iteration method with 10 iterations using x1(0) = x2(0) = x3(0) = x4(0) = 0 as initial values. b) Solve the system with Gauss - Seidel iteration method with 10 iterations using x1(0) = x2(0) = x3(0) = x40) = 0 as initial values.03: Consider finding the root of f(x) = x'-3 x-3 with Estep = 0.001, Labs = 0.001 a) using Bisection Method. b) using False Position (Regula Falsi) Method. Please firstly specify a reasonable interval for finding the approximate root (you can utilize from the graph of the function)