Solve the following system of equations using LU decomposition with partial pivoting:
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Solve the following system of equations using LU factorization with partial pivoting
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
Solve the following set of equations with LU factorization with pivoting PLEASE SHOW BY HAND NOT MATLAB: 10.10 Solve the following set of equations with LU factor- ization with pivoting: 3x, - 2x2 + x3 = -10 2x, + 6x2 - 4x3 = 44 --x1 - 2x2 + 5x3 = -26
HW11P1 (20 points) - LU Factorization with Partial Pivoting For the following system of equations: 4x1 -X2 + X32 2x1 (8 pts) Find the PLU factorization of the coefficients matrix, (8 pts) Solve the system using the PLU factorization (2 pts) Compare your PLU factorization by hand to that obtained using MATLAB. (2 pts) Compare your solution by hand to that obtained by MATLAB using the linsolve() function. a. b. c. d. HW11P1 (20 points) - LU Factorization with Partial...
Write a program in Matlab that solves linear systems of equations using Gauss elimination with partial pivoting. Make sure that you use variables that are explicit, and make sure to include comment lines (each subroutine should have at least a sentence stating what it does). Make sure that your program checks for valid inputs in matrix and vectors dimensionality. • Using your code, solve the systems of equations in problems 9.11, 9.12, and 9.13 9.11 9.12 9.13 2x1-6x2-X3 =-38 We...
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...
Use the Gaussian elimination method to solve each of the following systems of linear equations. In each case, indicate whether the system is consistent or inconsistent. Give the complete solution set, and if the solution set is infinite, specify three particular solutions. 1-5x1 – 2x2 + 2x3 = 14 *(a) 3x1 + x2 – x3 = -8 2x1 + 2x2 – x3 = -3 3x1 – 3x2 – 2x3 = (b) -6x1 + 4x2 + 3x3 = -38 1-2x1 +...
[-/1 Points] DETAILS ROLFFM8 2.2.048. - Solve the following system of equations by reducing the augmented matrix. X1 X2 + 6x3 = -2 8X1 + X2 + 8x3 8.5 2x1 + 2x2 + X3 = 3.5 (X1, X2, X3) = Need Help? Watch It Talk to a Tutor
2. Solve the following linear systems of equations by writing the system as a matrix equation Ax = b and using the inverse of the matrix A. (You may use a calculator or computer software to find A-1. Or you can find A-1 by row-reduction.) 3x1 – 2x2 + 4x3 = 1 x1 + x2 – 2x3 = 3 2x1 + x2 + x3 = 8 321 – 2x2 + 4x3 = 10 X1 + x2 – 2x3 = 30...
For the following system of equations 2x1 -X2 + X3 15 2x1- x3-3 3X1 + 6X2-2x3 =-10 a. (2 pts) Write the linear system in the format, Ax b. b. (6 pts) Determine the adjoint matrix of the matrix A. c. (2 pts) Determine the inverse matrix using the adjoint matrix of part b. d. (2 pts) Verify your results for the inverse matrix obtained in c. e. (2 pts) Solve the system of equations using the inverse matrix verified...
USING MATLAB/SCILAB: Given the following set of linear equations, solve using LU DECOMPOSITION x1 + 2x2 - x3 + x4 = 5 -x1 - 2x2 - 3x3 + 2x4 = 7 2x1 + x2 - x3 - 5x4 = -1 x1 + x2 + x3 + x4 = 10 Please show me pictures of the matlab/scilab compiler or copy-paste code and output