Explanation of Solution
Finding out the Inverse:
Consider the following matrix,
Suppose the inverse of this matrix is as follows:
Then we have to solve the following equations,
Hence, we get the augmented matrices respectively as follows:
Now, apply Gauss – Jordan method.
Replacing row 2 by (row 2) – 4(row 1) of
Replacing row 3 by (row 3) – 3(row 1) of
Replacing row 3 by (row 3 – row 2) of
This gives us,
Therefore, we get,
Now, we solve for
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Operations Research : Applications and Algorithms
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- Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole