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.

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Chapter1: Systems Of Linear Equations
Section1.2: Guassian Eliminationa And Guass-jordan Elimination
Problem 67E
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matrix
D-R, +R,
-4
-8
-4
|-8
40
80
Step 3:
-4
1
-4
-8
Step 4: Enter the coefficient for the row operations and the missing entries
in the resulting matrix.
DR, -R,R,
1 0
+ R
一
-4
-8
0 1
0.
1.
(b) Give the solution.
x =||
Transcribed Image Text:matrix D-R, +R, -4 -8 -4 |-8 40 80 Step 3: -4 1 -4 -8 Step 4: Enter the coefficient for the row operations and the missing entries in the resulting matrix. DR, -R,R, 1 0 + R 一 -4 -8 0 1 0. 1. (b) Give the solution. x =||
Valekscgi/x/lsl.exe/1o_u-IgNslkr7j8P3jH-DilwpxbwPrkicRI6pS60AVDiQYFU2vvpW5CIUeFQviQhWQz. 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.
吕 唱
Step 1:
IR, - R,
-20 -40
1 -4 I -8
->
-9 40 i
80
-9
40
80
Step 2:
0R, -R,- R,
-4
I-8
-9 40 i 80
Privecy I Accessiblit
Check
0 2020 McGraw-H Education. All Rights Reserved Terms of Use
Explanation
1O
P Type here to search
II
Transcribed Image Text:Valekscgi/x/lsl.exe/1o_u-IgNslkr7j8P3jH-DilwpxbwPrkicRI6pS60AVDiQYFU2vvpW5CIUeFQviQhWQz. 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. 吕 唱 Step 1: IR, - R, -20 -40 1 -4 I -8 -> -9 40 i 80 -9 40 80 Step 2: 0R, -R,- R, -4 I-8 -9 40 i 80 Privecy I Accessiblit Check 0 2020 McGraw-H Education. All Rights Reserved Terms of Use Explanation 1O P Type here to search II
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