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This is a normal modes problem that I’m working on, where the details are a bit tedious, but what I need to do is to write the following system:

mx`` = –2kx + ky + c

my`` = kx – ky + c

In the following form:

| m 0 | |x``| = |–2k k| |x|

| 0 m | |y``| = |k –k| |y|

The above are matrices with one “=” sign instead of two.

My problem is how to fit “c” into this system of matrices, where c is a constant; any help would be appreciated.