Can Non-Homogenous Simultaneous Equations be Solved using Eigenvalues?

[wasi-uz-zaman]

hi
i know how to calculate eigenvalue of given matrix. I want to know if two non homogenous simutaneous equation are given - than can we find its eigenvalue.

 

[tom.stoer]

I guess what you mean by 'non-homogenous simutaneous equation'

(A-a)x = 0
(B-b)x = 0

In order to understand this set of equations you have to study the commutator [A,B]