Explanation Given: The given system of linear equations is, { − 2 x 1 − 3 x 2 = − 4 6 x 1 + x 2 = − 36 ... ( 1 ) Approach: The linear system of equations can be represented by matrix equation as shown below. A system of linear equations is, { a 11 x 1 + a 12 x 2 + a 13 x 3 = b 1 a 21 x 1 + a 22 x 2 + a 23 x 3 = b 2 a 31 x 1 + a 32 x 2 + a 33 x 3 = b 3 The matrix equation A X = B is, [ a 11 a 12 a 13 a 21 a 22 a 23 a 31 a 32 a 33 ] [ x 1 x 2 x 3 ] = [ b 1 b 2 b 3 ] Here, A = [ a 11 a 12 To determine (b) To find: The solution of matrix X using Gauss-Jordan elimination.

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ISBN: 9781337271073

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 8.2, Problem 68E

To determine

(a)

To find:

The matrix equation AX=B for given system of linear equations {−2x1−3x2=−46x1+x2=−36.

To determine

(b)

To find:

The solution of matrix X using Gauss-Jordan elimination.

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Chapter 8.2, Problem 67E

Chapter 8.2, Problem 69E

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Ch. 8.1 - Prob. 1CP Ch. 8.1 - Prob. 2CP Ch. 8.1 - Prob. 3CP Ch. 8.1 - Prob. 4CP Ch. 8.1 - Prob. 5CP Ch. 8.1 - Prob. 6CP Ch. 8.1 - Prob. 7CP Ch. 8.1 - Prob. 8CP Ch. 8.1 - Prob. 9CP Ch. 8.1 - Prob. 1E

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(a) To find: The matrix equation A X = B for given system of linear equations { − 2 x 1 − 3 x 2 = − 4 6 x 1 + x 2 = − 36 .

Solution Summary: The author explains how the linear system of equations can be represented by a matrix equation.

Videos

(a)

To find:

The matrix equation AX=B for given system of linear equations {−2x1−3x2=−46x1+x2=−36.

(b)

To find:

The solution of matrix X using Gauss-Jordan elimination.

Want to see the full answer?

Chapter 8 Solutions

(a) To find: The matrix equation A X = B for given system of linear equations { − 2 x 1 − 3 x 2 = − 4 6 x 1 + x 2 = − 36 .

Solution Summary: The author explains how the linear system of equations can be represented by a matrix equation.

Videos

(a) To find: The matrix equation AX=B for given system of linear equations {−2x1−3x2=−46x1+x2=−36.

(b) To find: The solution of matrix X using Gauss-Jordan elimination.

Want to see the full answer?

Chapter 8 Solutions

(a)

To find:

The matrix equation AX=B for given system of linear equations {−2x1−3x2=−46x1+x2=−36.

(b)

To find:

The solution of matrix X using Gauss-Jordan elimination.