What will be the power of $2$ after its taken out from the determinant bracket? And what property will be used? I am confused with scalar associated with determinant of adjoint property.
2026-03-26 16:57:32.1774544252
What is $\det(2\mathrm{adj}(\mathrm{adj}(A)))$?
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Hint: As $A(\textrm{adj} A)=(\det A) I$, we have $\det A\det(\textrm{adj} A)=\det[A(\textrm{adj} A)]=(\det A)^n $, where $n$ is the order of $A$.
$$\det(\textrm{adj}A)=(\det A)^{n-1}$$