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The reduced row echelon form of a system of linear equations in z and y or in r, 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 0 0| 4 0 1 0-4 0 0 0 2 O A Unigue solution:

The reduced row echelon form of a system of linear equations in z and y or in r, 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 0 0| 4 0 1 0-4 0 0 0 2 O A Unigue solution:

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. 10 0 4 0 1 0 -4 0 0 O A. Unique solution: x = 4, y = -4, z = 2 O B. Unique solution: x = 4, y = -4 O C. Unique solution: a = 4, y = -4, z = 0 O D. Infinitely many solutions O E. No solutions O F. None of the above
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. 10 0 4 0 1 0 -4 0 0 O A. Unique solution: x = 4, y = -4, z = 2 O B. Unique solution: x = 4, y = -4 O C. Unique solution: a = 4, y = -4, z = 0 O D. Infinitely many solutions O E. No solutions O F. None of the above
Г1 0 0| 2 0 1 02 0 0 o0 O A. Unique solution: a 2, y = 2 O B. Infinitely many solutions O C. No solutions O D. Unique solution: x = 0, y = 0, z = 0 O E. Unique solution:x = 2, y = 2 O F. None of the above 4. 1 0 0 1 0 -1 0 0 1 4 O A. Unique solution: x 0, y = -1 O B. Unique solution: a = 0, y = -1, z = 4 O C. No solutions O D. Infinitely many solutions O E. Unique solution: x = -1, y = 4 O F. None of the above
Transcribed Image Text:Г1 0 0| 2 0 1 02 0 0 o0 O A. Unique solution: a 2, y = 2 O B. Infinitely many solutions O C. No solutions O D. Unique solution: x = 0, y = 0, z = 0 O E. Unique solution:x = 2, y = 2 O F. None of the above 4. 1 0 0 1 0 -1 0 0 1 4 O A. Unique solution: x 0, y = -1 O B. Unique solution: a = 0, y = -1, z = 4 O C. No solutions O D. Infinitely many solutions O E. Unique solution: x = -1, y = 4 O F. None of the above
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