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) 1 00 5 0 1 0 1 -5 00 1 7 1 04 4 013 3 0 000 O The system has no solution. O The system has a unique solution. (x, y, z) = ₂ O The system has infinitely many solutions. ○ (x, y,z) = (x, D ○ (x, y, =) - y. D = ○ (x, y, z) = (²) O The system has no solution. O The system has a unique solution. (x, y, z) = ₂0 O The system has infinitely many solutions. ○ (x, y,z) = (x. D (x, y, z) - D ○ (x, y, z) - (²) 믐 X
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) 1 00 5 0 1 0 1 -5 00 1 7 1 04 4 013 3 0 000 O The system has no solution. O The system has a unique solution. (x, y, z) = ₂ O The system has infinitely many solutions. ○ (x, y,z) = (x, D ○ (x, y, =) - y. D = ○ (x, y, z) = (²) O The system has no solution. O The system has a unique solution. (x, y, z) = ₂0 O The system has infinitely many solutions. ○ (x, y,z) = (x. D (x, y, z) - D ○ (x, y, z) - (²) 믐 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
Section6.1: Matrices And Systems Of Linear Equations
Problem 3E
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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)
1 00 5
0 1 0 1 -5
00 1
7
1 04 4
3
0
013
000
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)
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) -
=)
믐
X
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