
Find the inverse of the matrix using the Gauss Jordan method.

Answer to Problem 10P
The inverse of the matrix is
Explanation of Solution
Given information:
Calculation:
Write the given matrix in augmented matrix form:
Divide the first row by 4.
In the second row, subtract the first row multiplied with 2 from second row.
In the fourth row, subtract the first row multiplied with 3 from fourth row.
Divide the second row by 2.
In the first row, subtract the second row multiplied with
In the third row, subtract the second row multiplied with 4 from third row.
In the fourth row, subtract the second row multiplied with
Divide the third row by –6.
In the first row, subtract the third row from the first row.
In the second row, subtract the third row multiplied with 2 from the second row.
In the fourth row, subtract the third row multiplied with 1 from the fourth row.
Divide the fourth row by
In the first row, subtract the fourth row multiplied with
In the second row, subtract the fourth row multiplied with
In the third row, subtract the fourth row multiplied with
Thus, the inverse of the matrix is
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