The matrix A det 9 9 3 1 2 a11 a12 921 a31 0 1 2 4 V a13 922 a23 932 a33 1 2 1 2 9 a 1 2 b 2 c 0 9 a 4 b 1 2 c 0 which is the system a a b b where b The eigenvalue with positive imaginary part is For eigenvalue A the eigenvector has components a b and c that satisfy 3 a 0 b 1 c 0 i a b 301 9 12 9 4 1 2 has characteristic equation b i b 0 Choosing the first component of the eigenvector as a 1 this eigenvector is a 13 18 c 0 c 0 i c 0 i and c 27 i
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