For the following homogenous linear system, please finish the following problems. 2x, – 3x2 + 4x3 + x, = 0 X1 - x2 - X3 + 2x, = 0 2x, – 2x2 – 2x3 + 4x, = 0 (3x1 + x3 - 12x3 + 18x, = 0 (1) Does this homogeneous linear system have nontrival solutions or %3D %3D | not? (2)If the linear system has nontrival solutions, please write down the cs_ Scanné avec CamScanner nontrival solution set.
For the following homogenous linear system, please finish the following problems. 2x, – 3x2 + 4x3 + x, = 0 X1 - x2 - X3 + 2x, = 0 2x, – 2x2 – 2x3 + 4x, = 0 (3x1 + x3 - 12x3 + 18x, = 0 (1) Does this homogeneous linear system have nontrival solutions or %3D %3D | not? (2)If the linear system has nontrival solutions, please write down the cs_ Scanné avec CamScanner nontrival solution set.
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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Transcribed Image Text:For the following homogenous linear system, please finish
the following problems.
2x, – 3x2 + 4x3 + x, = 0
X1 - x2 - X3 + 2x, = 0
2x, – 2x2 – 2x3 + 4x, = 0
(3x1 + x3 – 12x3 + 18x, = 0
(1) Does this homogeneous linear system have nontrival solutions or
%3D
%3D
|
not?
(2)If the linear system has nontrival solutions, please write down the
|cs_ Scanné avec CamScanner
nontrival solution set.
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