Find the general solution of the linear system whose augmented matrix is 1 1 2 1 1] 4 4 9 5 5 x1 = 1-2x3 x4 = 3-5x3 - - 3x4 Candy are X2 = -1- x₂ + x4 = 1-4 O X3 x3 and 4 are free The only solution is (-1, 0, 1, 0) x1 X3 X2 and 4 are free

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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Find the general solution of the linear system whose augmented matrix is
[1
1 2 1
1
{}]
|4 49 5
5
= 1 - 2x3
=
X4
x1
- 3-5x3 - 3x4
= −1-x₂ + x4
= 1- x4
x2
X3 and x4 are free
The only solution is (-1, 0, 1, 0)
x1
X3
x2 and X4
The solution set is empty
are free
Transcribed Image Text:Find the general solution of the linear system whose augmented matrix is [1 1 2 1 1 {}] |4 49 5 5 = 1 - 2x3 = X4 x1 - 3-5x3 - 3x4 = −1-x₂ + x4 = 1- x4 x2 X3 and x4 are free The only solution is (-1, 0, 1, 0) x1 X3 x2 and X4 The solution set is empty are free
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