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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

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# Symbolic computation: Mathematica help

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