(a) Consider the matrix 1 0 0 A: 1 2 0 . 2 3 3 Examine whether the homogeneous set A 1: = 0, where x is a 3-dimensional vector, has nontrivial solutions (It at 0). Also, examine whether the linear set of ordinary differential equations (ODEs), dx/dt = A - x where t is time and x is a 3-dimensional vector, has solutions that decay over time. (10 points) {