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Use the Gauss-Jordan method to invert A1 = 1 0 0 1 1 1 0 0 1 , A2 = 2 1 0 1 2 1 0 1 2

Chapter 1, Problem 1.6.6

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QUESTION:

Use the Gauss-Jordan method to invert A1 = 1 0 0 1 1 1 0 0 1 , A2 = 2 1 0 1 2 1 0 1 2 , A3 = 0 0 1 0 1 1 1 1 1

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QUESTION:

Use the Gauss-Jordan method to invert A1 = 1 0 0 1 1 1 0 0 1 , A2 = 2 1 0 1 2 1 0 1 2 , A3 = 0 0 1 0 1 1 1 1 1

ANSWER:

Step 1 of 3

Given matrix is

To find the inverse of the given matrix using Gaussian elimination method.

The augmented matrix is

Now,

Thus, the inverse of the given matrix is

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