For example i want to have following equation :
Det[A B C]=Det[A] Det[B] Det[C]
What is the simplest way to distribute automatically?
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det[x__Dot] := Det /@ Times @@ x;
det[x_] := Det[x];
Now
det[A . B . C] == Det[A] Det[B] Det[C]
returns True
.
.
for multiplication of matrices? $\endgroup$Det /@ # & @@ Det[A.B.C]
givesDet[A].Det[B].Det[C]
. Is this what you want? $\endgroup$Distribute[Det[A.B.C], Dot]
$\endgroup$