Consider the following system of linear equations: x + 4y + z = 3, z = -1. Then which of the following is true? Select all possible answers. NOne of the variables is free. It is a homogeneous system of linear equations. |It has exactly one solution. |It has a non-trivial solution.
Consider the following system of linear equations: x + 4y + z = 3, z = -1. Then which of the following is true? Select all possible answers. NOne of the variables is free. It is a homogeneous system of linear equations. |It has exactly one solution. |It has a non-trivial solution.
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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![Consider the following system of linear equations:
x + 4y+ z = 3,
z = -1.
Then which of the following is true?
Select all possible answers.
One of the variables is free.
|It is a homogeneous system of linear equations.
| It has exactly one solution.
|It has a non-trivial solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F733e7a9a-7423-47af-8a58-9f4396f05e52%2F5725a53d-a88d-4742-8249-7a1fd3067ef6%2F2dkint_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following system of linear equations:
x + 4y+ z = 3,
z = -1.
Then which of the following is true?
Select all possible answers.
One of the variables is free.
|It is a homogeneous system of linear equations.
| It has exactly one solution.
|It has a non-trivial solution.
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