Question: Consider a system x ' = ( a 1 , a 2 ;a 3 , a 4 ) x + ( b 1 ;b 2

Consider a system
x'=(a1,a2;a3,a4)x +(b1;b2)u
y=(c1,c2)x
Given a1=-2, a2=1, a3=1, a4=2, b1=2, b2=0, c1=3, c2=2.
Determine the controllability of the system:
1. controllable.2. uncontrollable.
( input 1 or 2 as the answer )

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