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The state variable description of a linear autonomous system is, X= AX, 
Where X is the two dimensional state vector and A is the system matrix given by 
The roots of the characteristic equation are 
  • a)
    -2 and +2  
  • b)
    -j2 and +j2
  • c)
    -2 and -2  
  • d)
    +2 and +2 
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The state variable description of a linear autonomous system is, X= AX...
Characteristic equation will be :λ2 -4 =0 thus root of characteristic equation will be +2 and - 2.
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Most Upvoted Answer
The state variable description of a linear autonomous system is, X= AX...
Characteristic equation will be : (lamda)^2 - 4 = 0 thus root of characteristic equation will be +2 and - 2.
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Community Answer
The state variable description of a linear autonomous system is, X= AX...
(2-lamda. 0 0. 2-lamda)
when we solve the determinant
it became. (2 - lamda)^2 than finally lamda is equal to -2 or +2
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The state variable description of a linear autonomous system is, X= AX,Where X is the two dimensional state vector and A is the system matrix given by The roots of the characteristic equation area)-2 and +2 b)-j2 and +j2c)-2 and -2 d)+2 and +2Correct answer is option 'A'. Can you explain this answer?
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