This q. is from history of maths.Who first had found Eigen values .List engg.,sc,probs.solved by its use?

Question

This is a transformation of a column matrix in to itself. that is [A][X]=lamda*[X], LAMBDA ,A SCALAR.Actually what does it mean physically?We encounter this in vibration problems,stability problems etc. But a more explanetary discussion is sought

Answer 1

See the article below.