Good evening.

I am delivering an introductory course on matrices to mechanical engineering students.

Does anyone know of a simple mechanical problem that can be solved using matrices, preferably by finding eigenvalues and then vectors of a third order matrix?

Finding vibrational modes in systems is interesting but of too high a level; solving simultaneous equations is too easy. Is there anything in between? I am aware of electrical engineering examples, but these will be a last resort.

Thanks in advance,

W