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) 10 -1 2 01 1 15 00 0 1005 0101 -5 7 001 O The system has no solution. O The system has a unique solution. (x, y, z) = D O The system has infinitely many solutions. ○ (x, y, z) = (x, D ○ (x, y, z) = (y, D (x, y, z) = (²) O The system has no solution. O The system has a unique solution. (x, y, z) - D O The system has infinitely many solutions. ○ (x, y, z) = (x, D D (x, y, z) - = (x, y, z)-(²) 00 X

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4CC
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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)
10 - 1
2
0 1 1 15
00 0
100
01 0
0 0 1
0
5
-5
7
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, 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, D
○ (x, y, z)=y, D
○(x, y, =) ==)
믐
X
Transcribed Image Text: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) 10 - 1 2 0 1 1 15 00 0 100 01 0 0 0 1 0 5 -5 7 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, 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, D ○ (x, y, z)=y, D ○(x, y, =) ==) 믐 X
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