Write a "Python" program that reads coefficients and the right-hand side vector of a linear equation system from a given file (input.txt). The last row of the "input.txt" file is the right-hand side vector of a linear equation system. The coefficients of the linear equation will be integer as shown below. 4x0 +x1= 3 2x0 +5x1 = 1 The content of "input.txt" will be: Size=2 41 25 31 (a) Print the given matrix to the "output.txt" file as shown below: The content of the "output.txt" file: +4x0 +1x1 = 3 +2x0 +5x1 = 1 (b) solve the given linear equation system using the Gauss Elimination and Jacobi methods. Print the solutions to the "output_results.txt". The content of the "output_results.txt" file should be (the 4th digit after the decimal point will be rounded): The solution of the system by Gauss Elimination: x1=0.7778 x2=-0.1111 The solution of the system by Jacobi Method: x1=0.7778 x2=-0.1111 Note : Please write your code by writing functions one for Gauss Elimination Method, one for Jacobi method, one for the

Write a "Python" program that reads coefficients and the right-hand side vector of a linear equation system from a given file (input.txt). The last row of the "input.txt" file is the right-hand side vector of a linear equation system. The coefficients of the linear equation will be integer as shown below. 4x0 +x1= 3 2x0 +5x1 = 1 The content of "input.txt" will be: Size=2 41 25 31 (a) Print the given matrix to the "output.txt" file as shown below: The content of the "output.txt" file: +4x0 +1x1 = 3 +2x0 +5x1 = 1 (b) solve the given linear equation system using the Gauss Elimination and Jacobi methods. Print the solutions to the "output_results.txt". The content of the "output_results.txt" file should be (the 4th digit after the decimal point will be rounded): The solution of the system by Gauss Elimination: x1=0.7778 x2=-0.1111 The solution of the system by Jacobi Method: x1=0.7778 x2=-0.1111 Note : Please write your code by writing functions one for Gauss Elimination Method, one for Jacobi method, one for the

EBK JAVA PROGRAMMING

9th Edition

ISBN:9781337671385

Author:FARRELL

Publisher:FARRELL

Chapter13: File Input And Output

Section: Chapter Questions

Problem 6PE

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