(a) use the Gauss-Seidel method to solve the following system until the percent relative error fa...
DO NOT GIVE ME A STEP BY STEP SOLUTION ON PAPER. JUST GIVE ME THE MATLAB FUNCTION FILE (code) TO BE USED IN MATLAB. ONLY (a) use the Gauss-Seidel method to solve the following system until the percent relative error falls below s a. 5%. 10x1 + 2x2-x,-27 3x1 -6x2 + 2x3 61.5 25x321.5 b. (b) write an M-file to implement the Gauss-Seidel method using the above system as a test case (a) use the Gauss-Seidel method to solve the...
helpp I'm this exam 2) Use the Gauss-Seidel method to solve the following system until the percentage relative error is below 0.5% -2x1 + 2x2 – X3 = 25 - 3x1 - 6x2 + 2x3 = -40.5 X1 + x2 + 5x3 = -25.5 a) Record the table-style values. (Iteration, X1, X2, X3, Error X1, Error X2, Error X3). х iteration error X1 x2 x3
Solve the following system of equations using Gauss-Seidel method. 3x1 +6x2 +2x3 = 9 12% + 7x2 +3x,-17 2x, +7x2 -11x, 49 Conduct 3 iterations. Calculate the maximum absolute relative approximate error at the end of each iteration, and Choose [x, ]-l 3 5las your initial guess.
Test II. ITERATIVE SOLUTION OF SYSTEMS OF LINEAR EQUATIONS Solve the following linear system using Gauss-Seidel iterative method. Use x = x; = x; =0 as initial guesses. Perform two iterations of the method to find xị, xį and xſ and fill the following table. Show all the calculation steps. 10x, + 2x2 - X3 = 27 -3x, - 6x2 + 2xz = -61.5 X1 + x2 + 5x3 = -21.5
Solve the following equation by Gauss-Seidel Method up to 2 iterations and find the value of z. X1 + X2 + 25x3 10 6x1 + 15x2 + 2x3 -8 10x1 + 6x2 – X3 = 6 Give answer in 3-decimal plates.(Like 1.222) = r Answer:
Given the equations write a Matlab Function File (code) for 10x1 + 2x2 - x3 = 27 -3x1 -5x2 +2x3 = -61.5 x1 +x2 +6x3 = -21.5 (A) Compute the determinant (B) Use Cramer's rule to solve for the x's (C) Solve by naive Gauss elimination. Show all steps of the computation.
Using MATLAB, develop an M-file to determine LU factorization of a square matrix with partial pivoting. That is, develop a function called mylu that is passed the square matrix [A] and returns the triangular matrices [L] and [U] and the permutation P. You are not to use MATLAB built-in function lu in your codes. Test your function by using it to solve a system of equations listed below in part 3. Confirm that your function is working properly by verifying...
Using the Gauss-Seidel Method to solve the equations in the same order listed below with an initial guess of x1 = X2 = X3 = 1, what is the estimated value of x2 after 1 iteration? -8x1 + x2 - 2x3 = -20 2x1 - 6x2 - x3 = -38 -3x1 - x2 + 7x3 = -34 0 6.50 O 6.96 0 100 0 2.38
Question 11 In Exercises 9-12, show that the Gauss-Seidel method diverges for the given system using the initial approximation (x1, x2,...,x) = (0,0,...,0). 9. x– 2x2 = -1 2xy + x2 = 3 11. 2x, – 3x2 = -7 x1 + 3x2 – 10x3 = 9 3x + x3 = 13 10. - x + 4x, = 1 3xı – 2x2 = 2 12. x, + 3x, – x3 = 5 3x1 - x2 = 5 x2 + 2x3 =...
Solve the system of linear equations using the Gauss-Jordan elimination method. 3x1 2x2X316 x1 + 2x2 + 2x3 = 12 (X1, X2, X3) =