The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. [10 6 27 0 1-2-3 0000] O No solution O x1=2-6x3 x2 = -3 + 2x3 X3 = 0 O x₁=2-6x3 X₂ is free X2 O x₁=2-6x3 x₂ = -3 + 2x3 X₂ is free.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 14CT
icon
Related questions
Question
2
W
S
The augmented matrix is given for a system of equations. If the system is consistent, find the general
solution. Otherwise state that there is no solution.
mmand
10 6 27
0 1-2-3
100 0 0
X
O No solution
O x₁=2-6x3
x₂ = -3 + 2x3
X3 = 0
O x₁ = 2-6x3
X₂ is free
Ox₁-2-6x3
x₂ = -3 + 2x3
X3 is free
*3
80
F3
E
D
$
4
C.
R
F
65
%
V
F5
T
G
MacBook Air
6
F6
Y
B
&
7
H
U
*
N
8
00
J
1
. a
9
K
M
O
<
I
'
P
comm
Transcribed Image Text:2 W S The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. mmand 10 6 27 0 1-2-3 100 0 0 X O No solution O x₁=2-6x3 x₂ = -3 + 2x3 X3 = 0 O x₁ = 2-6x3 X₂ is free Ox₁-2-6x3 x₂ = -3 + 2x3 X3 is free *3 80 F3 E D $ 4 C. R F 65 % V F5 T G MacBook Air 6 F6 Y B & 7 H U * N 8 00 J 1 . a 9 K M O < I ' P comm
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning