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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Basic Technical Mathematics

ISBN: 9780137529896

12th Edition

Authors: Allyn J. Washington, Richard Evans

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Question Posted: Apr 08, 2023 05:42 AM

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

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0.8 -0.1 -0.4 -0.5

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To find the inverse of the matrix 08 01 04 05 Let B 08 01 04 05 Firs...View the full answer

Basic Technical Mathematics

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