Consider the uncontrollable state equation
![2400_uncontrollable state equation.png](https://secure.tutorsglobe.com/CMSImages/2400_uncontrollable state equation.png)
Is it possible to find a gain k so that the equation with state feedback u = r - kx has eigenvalues -2, -2, -1, -1? Is it possible to have eigenvalues -2, -2, -2, -1? How about -2, -2, -2, -2? Is the equation stabilizable?