Given the following system of equations: 16 s+32 u+33 p+13 w=91 5 s+11 u+10 p+8 w=16 9 s+7 u+6 p+12 w=5 34 s+14 u+15 p+w=43 a) Determine the values of
s, u, p and w using matrix manipulation in MATLAB (use invand/or backslash \). b) Solve the system of linear equations, showing three complete iterations, using the following methods. Calculate the absolute relative approximate errors: i. Gauss-Seidel iterative method. ii. Jacobi iterative methods. iii. Gauss-Seidel with relaxation, with 2 0.8. c) Solve the system of linear equations using the appropriate MATLAB function. You may use GaussSeidel, Isolve, Isolvep or even your own code. i. Using Gauss-Seidel iterative method, how many iterations are needed for 6 significant figures accuracy. ii. Using Jacobi iterative method. Print the first 3 iterations in a table format. iii. Using GaussSeidel with relaxation. Plot the number of iterations for 0
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