Question

Write a program that would solve an arbitral system of linear equations, and in the case of n by n system find the inverse of the matrix representing the RHS (right hand side) of the system.

The language is not important.

Answer 1

I AM USING MATLAB HERE.PLEASE REFER BELOW CODE

close all
clear all
clc

%solve system of linear equation using matrix inverse method

%3x1+4x2-2x3+2x4=2
%4x1+9x2-3x3+5x4=8
%-2x1-3x2+7x3+6x4=10
%x1+4x2+6x3+7x4=2

%matrix representation will be
% Ax = B;
%x = inverse(A) * B
A = [3 4 -2 2
4 9 -3 5
-2 -3 7 6
1 4 6 7];

% x = [x1
% x2
% x3
% x4]

B = [2 8 10 2];

%B will be column matrix
B = B';

x = inv(A) * B;

%final values of x1 x2 x3 and x4 is
x1 = x(1)
x2 = x(2)
x3 = x(3)
x4 = x(4)

PLEASE REFER OUTPUT BELOW

x1 =

-2.1538

x2 =

-1.1538

x3 =

-2.8462

x4 =

3.6923

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IF YOU HAVE ANY DOUBT PLEASE MENTION IN COMMENT BELOW