Special Relations for Ternary Systems

For ternary systems the computation of the modal matrix [P] is fairly straightforward. The two eigenvalues, and are given by Eqs. 3.2.9. 

Once the eigenvalues are known, the eigenvectors are found by solving the linear system 

Carrying out the multiplications required by Eq. 5.1.27 and solving for P- in terms of P gives 

The parameters P and P22 may take any value unity is, however, the obvious choice. Thus, if we let [P] be the modal matrix of [P] formed from the eigenvectors of [P] we may have 

Other structures for [P] are possible, it all depends on what values we choose for P and 22- 

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