Explanation Given Information: The system of equation is 2 x + y = − 4 y − 2 z = 0 3 x − 2 z = − 11 Calculation: Consider the given system of equation is: 2 x + y = − 4 y − 2 z = 0 3 x − 2 z = − 11 Therefore, the system of equation can be written in matrix form as below: A X = b Where A = [ 2 1 0 0 1 − 2 3 0 − 2 ] ; b = [ − 4 0 − 11 ] ; X = [ x y z ] Therefore, using Cramer’s rule, the solution of the system of the equation is given by, x = | A x | | A | , y = | A y | | A | , z = | A z | | A | Where A x = [ − 4 1 0 0 1 − 2 − 11 0 − 2 ] , A y = [ 2 − 4 0 0 0 − 2 3 − 11 − 2 ] , A z = [ 2 1 − 4 0 1 0 3 0 − 11 ] Consider the determinant of the matrix | A | = | 2 1 0 0 1

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ISBN: 9780134469140

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 8, Problem 55RE

To determine

To calculate: The solution of the system of equation 2x+y=−4,y−2z=0,3x−2z=−11

by the use of Cramer’s Rule.

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Chapter 8, Problem 54RE

Chapter 8, Problem 56RE

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The solution of the system of equation 2 x + y = − 4 , y − 2 z = 0 , 3 x − 2 z = − 11 by the use of Cramer’s Rule.

Solution Summary: The author calculates the solution of the system of equation x=-3,y=2,z=1 using Cramer’s Rule.

Videos

To calculate: The solution of the system of equation 2x+y=−4,y−2z=0,3x−2z=−11

by the use of Cramer’s Rule.

Want to see the full answer?

Chapter 8 Solutions

The solution of the system of equation 2 x + y = − 4 , y − 2 z = 0 , 3 x − 2 z = − 11 by the use of Cramer’s Rule.

Solution Summary: The author calculates the solution of the system of equation x=-3,y=2,z=1 using Cramer’s Rule.

Videos

To calculate: The solution of the system of equation 2x+y=−4,y−2z=0,3x−2z=−11 by the use of Cramer’s Rule.

Want to see the full answer?

Chapter 8 Solutions

To calculate: The solution of the system of equation 2x+y=−4,y−2z=0,3x−2z=−11

by the use of Cramer’s Rule.