2. (20pts) Consider the following state-space system, 0 -21 X = 1 0 -5X+ LO 1 -4] a) (6pts) Show that this system is not controllable. b) (10pts) Determine the uncontrollable mode (eigenvalue), either using a suitable state transform that partitions the system into controllable and uncontrollable modes or through direct observation. c) (4pts) Is the uncontrollable mode stable? Provide clear reasons.