Question 14 The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. [158-1 25 000-4 34 000 0-2 8 O x1 = -5x2 - 8x3 + x4 - 2x5 +5 x2 is free x3 is free X4 = x5-1 X5 = -4 O x1 = -5x2 - 8x3 + 9 x2 is free x3 = -4 X4 = = ²³ x5 x5-1 x5 = -4 O x1 = -5x2 - 8x3 +9 x2 is free x3 is free X4 = -4 X5 = -4 O No solution ↑

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 14
The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution.
[158-1 25
000-4 34
000 0-2 8
O x1 = -5x2 - 8x3 + x4 - 2x5 +5
x2 is free
x3 is free
X4 =
x5-1
X5 = -4
O x1 = -5x2 - 8x3 + 9
x2 is free
x3 = -4
X4 =
= ²³ x5
x5-1
X5 = -4
O x1 = -5x2 - 8x3 +9
x2 is free
x3 is free
X4 = -4
X5 = -4
O No solution
↑
Transcribed Image Text:Question 14 The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. [158-1 25 000-4 34 000 0-2 8 O x1 = -5x2 - 8x3 + x4 - 2x5 +5 x2 is free x3 is free X4 = x5-1 X5 = -4 O x1 = -5x2 - 8x3 + 9 x2 is free x3 = -4 X4 = = ²³ x5 x5-1 X5 = -4 O x1 = -5x2 - 8x3 +9 x2 is free x3 is free X4 = -4 X5 = -4 O No solution ↑
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