(adsbygoogle = window.adsbygoogle || []).push({}); det(A+B) ?? det(A) + det(B)

I'm guessing greater than but I'm not too sure. I need a proof on this so I can be assured of it and then use the statement to prove something else.

any hint (or link to proof) would be much appreciated.

edit:

x*det(A) ?? det(x*A)

what's the relation there?

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# Det(A+B) ? det(A) + det(B)

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