Find the inverse of each of the given matrices by the method of Example 1 of this

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Find the inverse of each of the given matrices by the method of Example 1 of this section.


Data from Example 1

Find the inverse of the matrix


First, we interchange the elements on the principal diagonal and change the signs of the off-diagonal elements. This gives us the matrix.


Now, we find the determinant of the original matrix, which means we evaluate


We now divide each element of the second matrix by −2. This gives


Checking by multiplication gives


Because AA−1 = I, the matrix A−1 is the proper inverse matrix.

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Related Book For  answer-question

Basic Technical Mathematics

ISBN: 9780137529896

12th Edition

Authors: Allyn J. Washington, Richard Evans

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