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Math / Introduction to Linear Algebra 5 / Chapter 1.1 / Problem 30E

Introduction to Linear Algebra | 5th Edition | ISBN: 9780201658590 | Authors: Lee W. Johnson, R. Dean Riess, Jimmy T. Arnold

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Solved: Display the augmented matrix for the given system.

Chapter 1, Problem 30E

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QUESTION:

Problem 30E

Display the augmented matrix for the given system. Use elementary operations on equations to obtain an equivalent system of equations in which x1 appears in the first equation with coefficient one and has been eliminated from the remaining equations. Simultaneously, perform the corresponding elementary row operations on the augmented matrix. x1 + 2x2 – x3 = 1 x1 + x2 + 2x3 = 2 -2x1+ x2 = 4

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QUESTION:

Problem 30E

Display the augmented matrix for the given system. Use elementary operations on equations to obtain an equivalent system of equations in which x1 appears in the first equation with coefficient one and has been eliminated from the remaining equations. Simultaneously, perform the corresponding elementary row operations on the augmented matrix. x1 + 2x2 – x3 = 1 x1 + x2 + 2x3 = 2 -2x1+ x2 = 4

ANSWER:

Step 1 of 3

The given system of equations is,

Let be the coefficient matrix for the given system.

,

Now, write the augmented matrix for the given system of the form, .

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