Program to Solve System Of Linear Equations With Step By Step Solution

Although the software is intuitive if you know the maths of it. However, let me explain its usage in brief.


This program uses Gaussian Elimination method also called Gauss-Jordan Elimination method to solve the system of linear equations.

You can now double click on the downloaded file. The start screen should open as shown in the screen-shots below.

Now I will consider a problem to illustrate using this program.
For example if we are given the following set of linear equations:
2X+3Y-Z=-4
X-Y-2Z=-4
3X+Y+3Z=-2

If we represent the above equations in a general matrix form as
AX=B where
A is the coefficient matrix => A=[(2, 3, -1); (1, -1, -2); (3, 1, 3)]
X is the variable matrix => X= [X, Y, Z]
B is the constants matrix => B=[-4, -4, -2]

The matrix AB is called the augmented matrix. It is obtained by writing the matrix B as the last column of matrix A. => [AB] = [(2, 3, -1); (1, -1, -2); (3, 1, 3); (-4, -4, -2)]
We use this Augmented matrix to solve the set of linear equations.

Screenshot-1

Enter number of rows and columns of the augmented Matrix:

Screenshot-2

The input given is 3  4
By this, we are giving the input to the program that our augmented matrix has three rows and four columns

Screenshot-3

Next comes the screen on the command promt asking to enter the values of augmented matrix. Enter the values as shown in the screenshot.

Screenshot-4

Now the program displays the procedure step-by-step also showing the steps that are followed.

Screenshot-5

It also indicates the nature of solution for the given set of linear equations. i.e, if it has a unique solution or many solutions or no solution.

Screenshot-6

After doing a few more steps, we get the solution set. In this case we got the solution set as
{-1.76, 0.18, 1.03}
which means that X=-1.76, Y=0.18 and Z=1.03

I actually want the source code of this for a different purpose. I should check my other computer which is not presently with me to find this source code. If not I will write it again and share it with you soon.

DOWNLOAD

• Download Location 1 (Direct Download)
• Download Location 2 (ziddu.com)
• Download Location 3 (mediafire.com)

You can freely use it and share it as you like.