Consider the linear homogeneous system of 2 equations and 2 unknowns, X' = AX, where A is a constant coefficient 2 X 2 matrix. Below the eigenvalues and eigenvectors of A are given. From this information, sketch a direction field by hand. Add sample solutions. Be sure to label your axis. (5pts) (a) 1 =1 01 = 12 = 3 02 = 2 (5pts) (b) M = -1 01 = 1 . 12 = -3 02 = 2 (5pts) (c) 1 =1 v1 = 12 = -3 02 = 2