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Solve it as a Matlab program. 5. Consider the following lincar system of equations: 4x1x2x1+4x2x3x2+4x3+4x4x5x4+4x5x6x5+4x6=0=5=0=6=2=6 a) First, store the coefficients and constants as .txt or
Solve it as a Matlab program.
5. Consider the following lincar system of equations: 4x1x2x1+4x2x3x2+4x3+4x4x5x4+4x5x6x5+4x6=0=5=0=6=2=6 a) First, store the coefficients and constants as .txt or .dat files. Load those data in two matrices named "A" and " b " and then find the exact solution of the system using Gaussian elimination with backward substitution. b) Check whether "A" is positive definite or not. If so, then solve the above system. correct up to 4 decimal places, with initial guess x0=(0,0,0,0,0,0) using: (i) Jacobi iterative method. (ii) Gauss-Seidel iterative method. (iii) SOR iterative method with =1.1. c) Create a table showing the comparison of the methods in (b) with headings as follows: "Exact Solution", "Jacobi", "G-S", "SOR", "Total iterations for Jacobi", "Total iterations for G-S", "Total iterations for SORStep by Step Solution
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