Explanation Given Information: The system of equation is, − 0.3 x + 0.5 y = 0.1 x − y = 4 x 17 + y 17 = 1 Formula Used: Elementary row operations: Type 1: Replacing the row R i by a R i , where a is a nonzero number. Type 2: Replacing the row R i by a R i ± b R j , where a is a nonzero number. Gauss Jordan reduction method: Step 1: First, clear the fractions or decimals by using type 1 operation. Step 2: Select the first nonzero element of the first row as pivot element. Step 3: Use the pivot to clear its column using type 2 operation. Step 4: Select the first nonzero element in the second row a pivot and clear its column. Step 5: Turn all the selected pivot elements into a 1 using operations of type 1. Calculation: Consider the system of equation, − 0.3 x + 0.5 y = 0.1 x − y = 4 x 17 + y 17 = 1 The augmented matrix for the given system of equations is, [ − 0.3 0.5 0.1 1 1 / 17 − 1 1 / 17 4 1 ] Apply Gauss Jordan reduction method to get the solution of the given system of equation. Begin by the simplification of the first row and third row. Perform the operations R 1 → 10 R 1 and R 3 → 17 R 3 , [ − 0.3 0.5 0.1 1 1 / 17 − 1 1 / 17 4 1 ] → [ − 3 5 1 1 1 − 1 1 4 17 ] Next pivot the first nonzero element of the first row and clears its column. Perform the operations R 2 → 3 R 2 + R 1 and R 3 → 3 R 3 + R 1 , [ − 3 5 1 1 1 − 1 1 4 17 ] → [ − 3 5 1 0 0 2 8 13 52 ] Next simplify the third row

Finite Mathematics and Applied Calculus (MindTap Course List)

7th Edition

ISBN: 9781337274203

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Chapter 4.2, Problem 14E

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To calculate: The solution of the system of equations −0.3x+0.5y=0.1,x−y=4,x17+y17=1 by the use of Gauss Jordan row reduction.

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Chapter 4.2, Problem 13E

Chapter 4.2, Problem 15E

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Finite Mathematics and Applied Calculus (MindTap Course List)

Ch. 4.1 - In Exercises 1-6, find three different particular...Ch. 4.1 - In Exercises 1-6, find three different particular...Ch. 4.1 - In Exercises 1-6, find three different particular...Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - In Exercises 7-20, find all solutions of the given...

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The solution of the system of equations − 0.3 x + 0.5 y = 0.1 , x − y = 4 , x 17 + y 17 = 1 by the use of Gauss Jordan row reduction.

Solution Summary: The author calculates the solution of the system of equations by the use of Gauss Jordan row reduction.

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To calculate: The solution of the system of equations −0.3x+0.5y=0.1,x−y=4,x17+y17=1 by the use of Gauss Jordan row reduction.

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Chapter 4 Solutions