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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. 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
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.
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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