Consider the single-input single-output LTI system x_ = 2 4 1 1 1 0 1 1 0 0 1 3 5 | {z } T 2 4 1 1 0 0 1 0 0 0 1 3 5 2 4 1 1 0 0 1 1 0 0 1 3 5 | {z } T1 x + 2 4 b1 b2 b3 3 5u: What conditions should b1; b2; b3 satisfy for the system to be controllable? You will need to simplify the conditions to the simplest possible form to get the full credit. 4