Explanation Given information: The system of equations is as follows. 33 x + 52 y = − 450 45 x − 62 y = 1 , 380 Calculation: The system of equations in the form of A X = C . Provide the matrix A and C for the system of equations as shown below. A = [ 33 52 45 − 62 ] C = [ − 450 1380 ] Calculate the adjoint of A as shown below. Interchange the elements on the principal diagonal and change the signs of the off–diagonal elements. adjoint of A = [ − 62 − 52 − 45 33 ] Calculate the determinant of matrix A as shown below. | A | = | 33 52 45 − 62 | = 33 × ( − 62 ) − 45 × 52 = − 2046 − 2340 = − 4 , 386 Calculate the inverse of matrix A using the relation. A − 1 = 1 | A | adjoint of A Substitute [ − 62 − 52 − 45 33 ] for adjoint of A and − 4 , 386 for | A | . A − 1 = 1 − 4386 [ − 62 − 52 − 45 33 ] = [ 62 4386 52 4386 45 4386 − 33 4386 ] Calculate the value of x and y using the relation

11th Edition

ISBN: 9780134508290

Author: Evans

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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Chapter 16, Problem 33RE

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Solve the system of equations using inverse of the coefficient matrix.

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Chapter 16, Problem 32RE

Chapter 16, Problem 34RE

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Chapter 16 Solutions

EBK 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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