symbolic computation: Mathematica help needed

[confi999]

mathematica help

Hi,
I need to get a simplified equation by setting the determinant of the following expression to zero:
exp(j.omega.dt). - [G]

Here, I is an 18x18 identity matrix and G is an 18x18 matrix that I got by doing some symbolic computation in Mathematica (in fact G is huge).

Can anyone help me with Mathematica code to get the simplified equation from
det| exp(j.omega.dt). - [G] | =0

In the literature people used Maple for the above. I have access to Mathematica and would prefer it. Thank you very much

 

[sadid]

eigenvalues mathematica code symbolic matrix

as you said, I've some experience vs MAPLE.
if you want to simplified the equation I just have some hint:
at first it seems you want to get it's eigenvalues so you can directly obtain it with it's command.
and for simplifying, you can search in Mathematica's manual but in Maple the command is: Simplify(Eq)
in Mathematical it may be similiar