Determine the value of the parameter s for which the syster 2x₂ = 1 2 ᏚᏆ 1 48x1 +48x2 = has a unique solution, and describe the solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve this linear algebra multile choice question, please show your work.

Determine the value of the parameter s for which the syster
ᏚᏆ 1
48x1 +48x2
2x₂ = 1
2
has a unique solution, and describe the solution.
The system has a unique solution when s -2 and s 2,
s+1
s(s+2)
1
2(s+2)
and the unique solution is
and the unique solution is
The system has a unique solution when s -2 and s = 0,
3s-2
3(s²-4)
and the unique solution is
=
[2]-[-²
=
x2
and the unique solution is
x1
X2
The system has a unique solution when s ‡ -2 and s = 0,
s+1
s(s+2)
x1
X2
=
x1
X
2(s-6)
5(8²-4)
The system has a unique solution when s -2 and s # 2,
3s-2
3(s²-4)
=
[
1
2(s+2)
2(s-6)
5(s²-4)
Transcribed Image Text:Determine the value of the parameter s for which the syster ᏚᏆ 1 48x1 +48x2 2x₂ = 1 2 has a unique solution, and describe the solution. The system has a unique solution when s -2 and s 2, s+1 s(s+2) 1 2(s+2) and the unique solution is and the unique solution is The system has a unique solution when s -2 and s = 0, 3s-2 3(s²-4) and the unique solution is = [2]-[-² = x2 and the unique solution is x1 X2 The system has a unique solution when s ‡ -2 and s = 0, s+1 s(s+2) x1 X2 = x1 X 2(s-6) 5(8²-4) The system has a unique solution when s -2 and s # 2, 3s-2 3(s²-4) = [ 1 2(s+2) 2(s-6) 5(s²-4)
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