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We continue to use the example introduced in
We now consider the case of unit masses
but nonzero damping constants .
(The case of nonunit masses is handled in §2.6.8.)
This simplifies the equations
of motion to
We solve them by changing variables to
We again solve by substituting
, where is
a constant vector and is a constant scalar to be determined.
Thus is an eigenvector
and is an eigenvalue of the non-Hermitian matrix .