The reduced row echelon form of a system of linear equations in x and y or in x, y and z is given. For each system, determine whether it has a unique solution (in this case, find the solution), infinitely many solutions, or no solutions. 1. 0 10 A. Unique solution: x = 0, y = 0, z = 0 B. Unique solution: x = 1, y = 1, z = 0 C. Infinitely many solutions D. Unique solution: x = 0, y = 0 E. No solutions F. None of the above 2. 1 0 이12 0 1 03 Lo o o0] A. Unique solution: x = 3, y = 2 B. Unique solution: x = 0, y = 0, z = 0 C. No solutions D. Unique solution:x = 2, y = 3 E. Infinitely many solutions F. None of the above OO0OO0

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.1: Matrices And Systems Of Linear Equations
Problem 1E: If a system of linear equations has infinitely many solutions, then the system is called _______. If...
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The reduced row echelon form of a system of linear equations in x and y or in x, y and z is given. For each
system, determine whether it has a unique solution (in this case, find the solution), infinitely many solutions, or
no solutions.
1.
1
이 0
10
0|0
= 0, y = 0, z = 0
B. Unique solution: x = 1, y = 1, z = 0
A. Unique solution: x =
C. Infinitely many solutions
D. Unique solution: x =
0, y = 0
E. No solutions
F. None of the above
2.
1 0 02
1
0 3
0 0
0 0
= 3, y = 2
0, y = 0, z = 0
A. Unique solution: x =
B. Unique solution: x =
C. No solutions
D. Unique solution:x = 2, y = 3
E. Infinitely many solutions
F. None of the above
O0000C
Transcribed Image Text:The reduced row echelon form of a system of linear equations in x and y or in x, y and z is given. For each system, determine whether it has a unique solution (in this case, find the solution), infinitely many solutions, or no solutions. 1. 1 이 0 10 0|0 = 0, y = 0, z = 0 B. Unique solution: x = 1, y = 1, z = 0 A. Unique solution: x = C. Infinitely many solutions D. Unique solution: x = 0, y = 0 E. No solutions F. None of the above 2. 1 0 02 1 0 3 0 0 0 0 = 3, y = 2 0, y = 0, z = 0 A. Unique solution: x = B. Unique solution: x = C. No solutions D. Unique solution:x = 2, y = 3 E. Infinitely many solutions F. None of the above O0000C
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