2.2 Sketch phase portraits for the dynamical systems of equation X =AX, when A is given by: 1 =(-1/² √₂)(b) A ( (c) A = (3¹) (d) A = (3) 0

(a) A = (b) A = = (-²3) 0 State what type of fixed point you have and where it is found in the phase-plane. Justify the phase portraits you found by referring to the shape of the trajectories and their stability properties. Be careful with part (d): is this a simple dynamical system? Where can you find the critical points?