Consider the system of equations: -2x + z= -4 -x + 2y + z = -50 5x -y +z = -26 with the corresponding matrix equation -2 0 1 -4 -1 7 1 y -50 5 -1 1 -26 and with the augmented matrix -2 0 1 -4 -1 7 1 -50 5 -1 1 -26 Using the Gaussian method, the augmented matrix can be transformed into -2 0 1 -4 О а22 а23 а24 оо азз аҙ4

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.1: Matrices And Systems Of Equations
Problem 4ECP: Compare solving the linear system below to solving it using its associated augmented matrix....
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Question
Applying backward substitution what is the value of x ?
Note: Decimal values should be approximated up to 4 decimal places.
6
-12
O-6
-4
None of the choices
Transcribed Image Text:Applying backward substitution what is the value of x ? Note: Decimal values should be approximated up to 4 decimal places. 6 -12 O-6 -4 None of the choices
Consider the system of equations:
-2x + z= -4
-x + 2y + z = -50
5x -y + z = -26
with the corresponding matrix equation
-2 0 1
-4
-1 7 1
y
-50
5 -1 1
-26
and with the augmented matrix
-2 0 1 -4
-1 7 1 -50
5 -1 1 -26
Using the Gaussian method, the augmented matrix can be transformed into
-2 0
1 -4
О а22 а23 а24
оо азз аҙ4
Transcribed Image Text:Consider the system of equations: -2x + z= -4 -x + 2y + z = -50 5x -y + z = -26 with the corresponding matrix equation -2 0 1 -4 -1 7 1 y -50 5 -1 1 -26 and with the augmented matrix -2 0 1 -4 -1 7 1 -50 5 -1 1 -26 Using the Gaussian method, the augmented matrix can be transformed into -2 0 1 -4 О а22 а23 а24 оо азз аҙ4
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