Controllability and Observability of Inverted Pendulum on Cart 
Q1. What are the eigen values of the given matrix?

Q2. What is the rank of given matrix?

Q3. What is the controllability matrix of the given state equation?

Q4. Consider the system

Is this system controllable and observable?

Is this system controllable and observable?
Q5. What is the state equation of a linear time varying discrete time system?