The matrix A det 2 a a11 a21 38 2 87 382 34 2 87 15 12 15 a12 922 34 A 87 a 34 2 b 0 which is the system a 2 The eigenvalue with positive imaginary part is For eigenvalue 2 the eigenvector v has components a and b that satisfy 38 a 15 b 0 where h i a 38 15 i 87 34 0 has characteristic equation b 0 b 0 Choosing the first component of the eigenvector as a 1 for 2 the eigenvector is a i