Problem 2 Consider a linear system, 2: (t ) = z; (t) - zi(t), where i e { 1, ..., n). (a) Letting z(t) = [z1(t), zz(t), ..., zn(t)]", the above systems can be written as a matrix-based differential equation z(t) = Az(t). Find the matrix A. + (b) When n = 3, show that all states z;(t) converge to a common value, regardless of the initial conditions z; (0). (c) Will the states z;(t) converge to a common value for n > 3? (Give the answer and show the proof)