Question: Problem 1 Solve the following system of linear algebraic equations: 8x12x2 + 3x3 = 51 2x1 +5x2 + x3 = 23 -3x1 + x

Problem 1 Solve the following system of linear algebraic equations: 8x12x2 + 3x3 = 51 2x1 +5x2 + x3 = 23 -3x1

Problem 1 Solve the following system of linear algebraic equations: 8x12x2 + 3x3 = 51 2x1 +5x2 + x3 = 23 -3x1 + x +6x3 20 Case 1. Use the Jacobi iterative method. Carry out the frst four iterations using a calculator OR write a MATLAB script file to carry out calculations. Show all steps including the values of residuals for each equation. (25 points). Case 2. Use the Gauss-Seidel iterative method. Carry out the frst four iterations using a calculator OR write a MATLAB script file to carry out calculations. Show all steps including the values of residuals for each equation. (25 points). Case 3. Use MATLAB built-in operation, e.g. see the lecture 11, slide 20. Write the solution for , 2 and *3 using 'format short'. (5 points). Problem 1 Solve the following system of linear algebraic equations: 8x12x2 + 3x3 = 51 2x1 +5x2 + x3 = 23 -3x1 + x +6x3 20 Case 1. Use the Jacobi iterative method. Carry out the frst four iterations using a calculator OR write a MATLAB script file to carry out calculations. Show all steps including the values of residuals for each equation. (25 points). Case 2. Use the Gauss-Seidel iterative method. Carry out the frst four iterations using a calculator OR write a MATLAB script file to carry out calculations. Show all steps including the values of residuals for each equation. (25 points). Case 3. Use MATLAB built-in operation, e.g. see the lecture 11, slide 20. Write the solution for , 2 and *3 using 'format short'. (5 points).

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