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Consider the following simultaneous equations (with c1 and c2 being constants): 
3x1 + 2x2 = c1
4x1 + x2 = c2
The characteristic equation for these simultaneous equations is 
  • a)
    λ2 − 4λ − 5 = 0 
  • b)
    λ2 − 4λ + 5 = 0
  • c)
    λ2 + 4λ − 5 = 0
  • d)
    λ2 + 4λ + 5 = 0
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the following simultaneous equations (with c1 and c2 being co...
given systems 
3x1 + 2x2 = c1
4x1 + x2 = c2

Characteristic equations of above systems is  

By expanding λ2 − 4λ − 5 = 0
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Consider the following simultaneous equations (with c1 and c2 being constants):3x1 + 2x2 =c14x1 + x2 = c2The characteristic equation for these simultaneous equations isa)λ2 − 4λ − 5 = 0b)λ2 − 4λ + 5 = 0c)λ2 + 4λ − 5 = 0d)λ2 + 4λ + 5 = 0Correct answer is option 'A'. Can you explain this answer?
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Consider the following simultaneous equations (with c1 and c2 being constants):3x1 + 2x2 =c14x1 + x2 = c2The characteristic equation for these simultaneous equations isa)λ2 − 4λ − 5 = 0b)λ2 − 4λ + 5 = 0c)λ2 + 4λ − 5 = 0d)λ2 + 4λ + 5 = 0Correct answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Consider the following simultaneous equations (with c1 and c2 being constants):3x1 + 2x2 =c14x1 + x2 = c2The characteristic equation for these simultaneous equations isa)λ2 − 4λ − 5 = 0b)λ2 − 4λ + 5 = 0c)λ2 + 4λ − 5 = 0d)λ2 + 4λ + 5 = 0Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following simultaneous equations (with c1 and c2 being constants):3x1 + 2x2 =c14x1 + x2 = c2The characteristic equation for these simultaneous equations isa)λ2 − 4λ − 5 = 0b)λ2 − 4λ + 5 = 0c)λ2 + 4λ − 5 = 0d)λ2 + 4λ + 5 = 0Correct answer is option 'A'. Can you explain this answer?.
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