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Explanation of Solution
Using Gauss-Jordan method to indicate the solutions:
Consider the given system of linear equations,
The augmented matrix of this system is as follows:
The Gauss-Jordan method is applied to find the solutions of the above system of linear equations.
Replace row 3 of A|b by (row 3 – row 1), then the following matrix is obtained,
Now, replace row 3 of
This produces the following result,
Solving the above equations, the following result is obtained,
Therefore, the above system of linear equations has a unique solution.
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Chapter 2 Solutions
Operations Research : Applications and Algorithms