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. [10 6 27 0 1-2-3 0000] O No solution O x1=2-6x3 x2 = -3 + 2x3 X3 = 0 O x₁=2-6x3 X₂ is free X2 O x₁=2-6x3 x₂ = -3 + 2x3 X₂ is free.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2
W
S
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.
mmand
10 6 27
0 1-2-3
100 0 0
X
O No solution
O x₁=2-6x3
x₂ = -3 + 2x3
X3 = 0
O x₁ = 2-6x3
X₂ is free
Ox₁-2-6x3
x₂ = -3 + 2x3
X3 is free
*3
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Transcribed Image Text:2 W S 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. mmand 10 6 27 0 1-2-3 100 0 0 X O No solution O x₁=2-6x3 x₂ = -3 + 2x3 X3 = 0 O x₁ = 2-6x3 X₂ is free Ox₁-2-6x3 x₂ = -3 + 2x3 X3 is free *3 80 F3 E D $ 4 C. R F 65 % V F5 T G MacBook Air 6 F6 Y B & 7 H U * N 8 00 J 1 . a 9 K M O < I ' P comm
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