Controllability and Observability 1. Consider the system defined by [x₁(t)] |x2(t)= 0 -1 x3(t) -2 -21x1(t)] 1 1 0 -1 x3(t)] [2] [x₁(t)] x2(t) + u; y(t) [110] x2(t) Is the system completely state controllable and completely observable? 2.- Consider the system given by x3(t) x2(t) =020x2(t) +1 0 u; [x₁(t)] [20 01 [x₁(t)] [x3(t)] 0 3 1x3(t)] output controllable? LO [x₁(t)] y(t)=2(t) 1 [x3(t)] Is the system completely state controllable and completely observable? Is the system completely