The reduced row echelon form of a system of linear equations in xx and yy or in xx, yy and zz is given. For each system, determine whether it has a unique solution (in this case, find the solution), infinitely many solutions, or no solutions

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 45E
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The reduced row echelon form of a system of linear equations in xx and yy or in xx, yy and zz is given. For each system, determine whether it has a unique solution (in this case, find the solution), infinitely many solutions, or no solutions.

4.
-2
0 0
1
-2
O A. Unique solution: x = 0, y = -2
O B. Unique solution: x = -2, y = -2
O C. No solutions
O D. Infinitely many solutions
O E. Unique solution: x = 0, y= -2, z = –2
O F. None of the above
Transcribed Image Text:4. -2 0 0 1 -2 O A. Unique solution: x = 0, y = -2 O B. Unique solution: x = -2, y = -2 O C. No solutions O D. Infinitely many solutions O E. Unique solution: x = 0, y= -2, z = –2 O F. None of the above
1 0 0
-1
1
1
0 0 0
-3
O A. Unique solution: x = -1, y = 1, z = 0
O B. Infinitely many solutions
O C. No solutions
O D. Unique solution: x = -1, y = 1
O E. Unique solution: a = -1, y = 1, z = -3
O F. None of the above
Transcribed Image Text:1 0 0 -1 1 1 0 0 0 -3 O A. Unique solution: x = -1, y = 1, z = 0 O B. Infinitely many solutions O C. No solutions O D. Unique solution: x = -1, y = 1 O E. Unique solution: a = -1, y = 1, z = -3 O F. None of the above
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