Design and Implement an Algorithm in Java to solve the followingproblem in solving linear equations using the Gaussian Eliminationmethod.
Definition:
A system of linear equations can be placed into matrix form.Each equation becomes a row and each variable becomes a column. Anadditional column is added for the right hand side. A system oflinear equations and the resulting matrix are shown.
Sample of linear equations …
3x + 2y – 4z = 3
2x + 3y + 3z = 15
5x – 3y + z = 14
becomes the augmented matrix … (transform the Linear Equationinto Matrix form)
x
y
z
Constants
3
2
-4
3
2
3
3
15
5
-3
1
14
The goal when solving a system of equations is to place
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