Explanation Given information: The given matrix is [ 2 − 5 2 − 4 ] . Calculation: Consider the given matrix as A . A = [ 2 − 5 2 − 4 ] Interchange the elements on the principal diagonal and change the signs of the off–diagonal elements. It is represented as adjoint of the matrix. A adj = [ − 4 5 − 2 2 ] (1) Calculate the determinant value of the given matrix. | A | = [ 2 − 5 2 − 4 ] = ( − 4 × 2 ) − ( 2 × − 5 ) = − 8 − ( − 10 ) = 2 Calculate the inverse value of given matrix. A − 1 = A adj | A | Substitute [ − 4 5 − 2 2 ] for A adj and 2 for | A | . A − 1 = [ − 4 5 − 2 2 ] 2 = [ − 2 5 2 − 1 1 ] Therefore, the inverse of the matrix is [ − 2 5 2 − 1 1 ] _

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780135902912

Author: Allyn J. Washington

Publisher: PEARSON

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Chapter 16, Problem 23RE

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Find the inverse of the given matrix and check the results by using calculator.

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Chapter 16, Problem 22RE

Chapter 16, Problem 24RE

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Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

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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