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A system is described by the state equation
Ẋ = AX + BU.
The output is given by Y = CX,where, A = 
-4 -1 
, B = 1 , C = [ 1 0 ] 3 -1 1
Transfer function G(s) of the system is
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s s2 + 5s + 7
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1 s2 + 5s + 7
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s s2 + 3s + 2
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1 s2 + 3s + 2
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Correct Option: A
Transfer function G
G(s) = C(sI – A)– 1 B
| (sI - A) = | | s | | - | | -4 | -1 | | = | | s + 4 | | ||||||||
| 0 | s | 3 | -1 | -3 | s + 1 |
| Here , G(s) = | | s + 1 | | | 1 | | ||||||
| s2 + 5s + 7 | +3 | s + 4 | 1 |
| = | ||
| s2 + 5s + 7 |
