Two augmented matrices for two linear systems in the variables x, y, and z are given below. The augmented matrices are in reduced row-echelon form. For each system, choose the best description of its solution. If applicable, give the solution. (a) (b) [100-7 001-4 000-4 -5 0 0 000 1 O 3 13 ● O The system has no solution. The system has a unique solution. (x. y.) - D O The system has infinitely many solutions. (x, y, z)=(x, D (x, y, z)= y.D (x, y, z)=z) The system has no solution. The system has a unique solution. (x, y, z)=D The system has infinitely many solutions. (x, y, z)=(x, (x, y, z)=y, 010 X

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 93E
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matrices and matrix reduced echelon form and finding solution
esc
Two augmented matrices for two linear systems in the variables x, y, and z are given below.
The augmented matrices are in reduced row-echelon form.
For each system, choose the best description of its solution.
If applicable, give the solution.
(a)
(b)
!
100
Continue
F1
001
-4
000 -4
1 -5 0
0 0 113
00
0 0
-7
2
F2
3
# 3
3
The system has no solution.
The system has a unique solution.
(x, y, z) = D
O The system has infinitely many solutions.
(x, y, z)=(x, D
80
F3
(x, y, z) =
(x, y, z) =
z)
The system has no solution.
The system has a unique solution.
(x, y, z)=D
y. D
The system has infinitely many solutions.
(x, y, z)=(x, D
(x, y, z)= y,
$
4
Q
F4
%
5
F5
MacBook Air
^
6
C
F6
&
7
F7
OO
Ⓒ2023 McGraw
* 0
8
Transcribed Image Text:esc Two augmented matrices for two linear systems in the variables x, y, and z are given below. The augmented matrices are in reduced row-echelon form. For each system, choose the best description of its solution. If applicable, give the solution. (a) (b) ! 100 Continue F1 001 -4 000 -4 1 -5 0 0 0 113 00 0 0 -7 2 F2 3 # 3 3 The system has no solution. The system has a unique solution. (x, y, z) = D O The system has infinitely many solutions. (x, y, z)=(x, D 80 F3 (x, y, z) = (x, y, z) = z) The system has no solution. The system has a unique solution. (x, y, z)=D y. D The system has infinitely many solutions. (x, y, z)=(x, D (x, y, z)= y, $ 4 Q F4 % 5 F5 MacBook Air ^ 6 C F6 & 7 F7 OO Ⓒ2023 McGraw * 0 8
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