Explanation The given system is, 2 x 1 + x 2 = 1 4 x 1 − x 2 = − 7 . The corresponding augmented matrix for the given system is, [ 2 1 1 4 − 1 − 7 ] . To find the solution of the system, transform the augmented matrix in the form of [ 1 0 m 0 1 n ] where m and n are real numbers. Note that in the augmented matrix, the upper left corner is 2. To get 1 in upper left corner, divide the row 1 by 2. [ 2 1 1 4 − 1 − 7 ] ∼ [ 1 1 2 1 2 4 − 1 − 7 ] ( 1 2 ) R 1 → R 1 Now, to get 0 in the lower left corner, multiply the row 1 by −4 and add with row 2. [ 1 1 2 1 2 4 − 1 − 7 ] ∼ [ 1 1 2 1 2 0 − 3 − 9 ] ( − 4 ) R 1 + ˜ R 2 → R 2 Now, to get 1 in the second row, second column, divide the row 2 by −3. [ 1 1 2 1 2 0 − 3 − 9 ] ∼ [ 1 1 2 1 2 0 1 3 ] − 1 3 R 2 → R 2 To get 0 in the upper left corner, multiply the row 2 by − 1 2 and add to row 1

Pearson eText for College Mathematics for Business, Economics, Life Sciences, and Social Sciences -- Instant Access (Pearson+)

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ISBN: 9780137553341

Author: Raymond Barnett, Michael Ziegler

Publisher: PEARSON+

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Chapter 4.2, Problem 69E

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To solve: The system of equations 2x1+x2=14x1−x2=−7 by augmented matrix methods.

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Chapter 4.2, Problem 68E

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Ch. 4.1 - Solve by graphing and check: 2x − y = −3 x + 2y =...Ch. 4.1 - Solve each of the following systems by graphing: x...Ch. 4.1 - Prob. 3MP Ch. 4.1 - Prob. 4MP Ch. 4.1 - Prob. 5MP Ch. 4.1 - Prob. 6MP Ch. 4.1 - Prob. 7MP Ch. 4.1 - Prob. 1ED Ch. 4.1 - Prob. 2ED Ch. 4.1 - In Problems 1–6, find the x and y coordinates of...

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The system of equations 2 x 1 + x 2 = 1 4 x 1 − x 2 = − 7 by augmented matrix methods.

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