State whether each of the following statements is True or False. Explain your answers. 4.a Let x(t + 1) = Ax(t) be a discrete dynamical system where A is a 3 3 matrix such that det(A-AI3) (2+)2(121). Then there is a nonzero initial state vector (0) for which lim x(t) = 0. 4.b There is a 3 3 nonzero symmetric matrix A that satisfies A = -A. 4.c 0017 If A is a symmetric matrix whose only eigenvalues are +1, then A is orthogonal. =