1. Consider g' : Ag, where A is a 2 x 2 matrix with constant, real coeicients. Assumee that the eigenvalues of A are complex, i.e. A1 = 0: +213 and A2 = a i6, Where a and {3' are real numbers and i2 = *1. (1) Assume also that g + rig is an eigenvector associated with the eigenvalue A1, where g and y are vectors with real coeicients. Prove that if we dene the matrix P = [ a y ], then P'IAP=[_a f]EJR the real Jordan Canonical Form for A. (ii) Find eJR