Explanation Given information: The given matrix is [ 70 − 30 − 60 40 ] . Calculation: Consider the given matrix as A . Write the given matrix. A = [ 70 − 30 − 60 40 ] Interchange the elements on the principal diagonal and change the signs of the off–diagonal elements. A changed = [ 40 30 60 70 ] (1) Calculate the determinant value of the given matrix. | A | = | 70 − 30 − 60 40 | = ( 70 × 40 ) − ( − 30 × − 60 ) = 1 , 000 Calculate the inverse value of given matrix. Divide each element in Equation (1) by the determinant value of given matrix. A − 1 = A changed | A | Substitute [ 40 30 60 70 ] for A changed and 1,000 for | A | . A − 1 = [ 40 30 60 70 ] 1 , 000 = [ 0.04 0.03 0.06 0.07 ] Therefore, the inverse of the given matrix is [ 0

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ISBN: 9780134437705

Author: Washington

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Chapter 16.3, Problem 8E

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Find the inverse of the given matrix.

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Chapter 16.3, Problem 7E

Chapter 16.3, Problem 9E

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Chapter 16 Solutions

Basic Technical Mathematics

Ch. 16.1 - For matrices A and B, find A + B. Ch. 16.1 - Prob. 2PE Ch. 16.1 - Prob. 3PE Ch. 16.1 - Prob. 1E Ch. 16.1 - Prob. 2E Ch. 16.1 - Prob. 3E Ch. 16.1 - Prob. 4E Ch. 16.1 - In Exercises 3–10, determine the value of the...Ch. 16.1 - Prob. 6E Ch. 16.1 - Prob. 7E

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