Algebraic equation in matrix form

[TrumeAAA]

Hi, I wanted to solve a Algebraic equation in matrix form that looks like:

The equation has the form: AX=0
So I need to solve det(A)=0 with respect to k' when k∈(-1,1). Actually it is a Algebraic equation in matrix form, is it possible to solve it with DifferentialEquations.jl ?
Note: It is easy to do it by running:
... syms k; solution = double(solve(det(A))); ...
Any suggestion will be helpful, Thank you very much!

[ChrisRackauckas]

This isn't a DifferentialEquation. Just use NonlinearSolve, though that will do it numerically of course.

[TrumeAAA]

Thanks! I will try it.