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Q#1
State Variable Analysis
GATE EC 2023
MCQ
+2 marks
-0.66 marks
The state equation of a second order system is 
is the initial condition.
Suppose 
and 
are two distinct eigenvalues of A and 
and 
are the corresponding eigenvectors. For constants 
and 
, the solution, 
, of the state equation is
Explanation:
The correct option is 1
Concept:
Given: 
If 
is the eigenvalue of matrix A then 
.
As there are 2 eigenvalues and of matrix A , the solution of the state equation will be, 
Hence, the correct option is (a).
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