Consider the following system of linear equations. 5x-20y=-40 -9x+40y= 80 Solve the system by completing the steps below to produce a reduced row-echelon form. R, and R, denote the first and second rows, respectively. The arrow notation (-) means the expression/matrix on the left becomes the expression/matrix on the right once the row operations are performed.

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Completing Gauss-Jordan elimination with a 2x2 matrix
Step
DR, + R, - R,
1
-4 I
-8
2
1
-4
-8
40
80
4 - 8
Step 3:
03, - R,
1
-4
8-
1
-4 1
8-
0.
4
8.
Step 4: Enter the coefficient for the row operations and the missing entries
in the resulting matrix.
0R -R, - R,
1 0
1
-4
- 8
1
0 1
(b) Give the solution.
Transcribed Image Text:Completing Gauss-Jordan elimination with a 2x2 matrix Step DR, + R, - R, 1 -4 I -8 2 1 -4 -8 40 80 4 - 8 Step 3: 03, - R, 1 -4 8- 1 -4 1 8- 0. 4 8. Step 4: Enter the coefficient for the row operations and the missing entries in the resulting matrix. 0R -R, - R, 1 0 1 -4 - 8 1 0 1 (b) Give the solution.
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O SYSTEMS OF EQUATIONS AND MATRICES
Completing Gauss-Jordan elimination with a 2x2 matrix
Consider the following system of linear equations.
5x-20y=-40
-9x+40y= 80
Solve the system by completing the steps below to produce a reduced row-echelon form. R, and R, denote the first and second rows, respectively. The arrow
notation (-) means the expression/matrix on the left becomes the expression/matrix on the right once the row operations are performed.
(a) For each step below, enter the coefficient for the row operation. The
first matrix in Step 1 is the augmented matrix for the given system of
equations.
Step 1:
-4
-8
-20 I -40
-9 40
80
-9
40
80
Step 2:
D-R, -R, - R,
1
1
-4
-9
40
80
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Transcribed Image Text:ALEKS - Hibah Abusaad - Learn A https://www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-lgNslkr7j8P3jH-IJilwpxbwPrkicRI6pS60AVDiQYFU2vvpW5CIUeFQviQhWQz. Q O SYSTEMS OF EQUATIONS AND MATRICES Completing Gauss-Jordan elimination with a 2x2 matrix Consider the following system of linear equations. 5x-20y=-40 -9x+40y= 80 Solve the system by completing the steps below to produce a reduced row-echelon form. R, and R, denote the first and second rows, respectively. The arrow notation (-) means the expression/matrix on the left becomes the expression/matrix on the right once the row operations are performed. (a) For each step below, enter the coefficient for the row operation. The first matrix in Step 1 is the augmented matrix for the given system of equations. Step 1: -4 -8 -20 I -40 -9 40 80 -9 40 80 Step 2: D-R, -R, - R, 1 1 -4 -9 40 80 Terms of Use Privacy Acces Check O 2020 McGrow-Hll Education. All Rights Reserved Explanation P Type here to search olo II
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