Why does $\det(A^2)= \det(A)^2$?
9574
How to show that $\det(AB) =\det(A) \det(B)$?
129647
$A^{-1}$ has integer entries if and only if the ${\rm det}\ (A) =\pm 1$
17394
Sign of determinant when using $det A^\top A$
52461
Why does $(g^b \bmod m)^a \bmod m = (g^a \bmod m)^b \bmod m$?
20331
Determinant of a $2\times 2$ block matrix
137422
$\mathrm{card}(\mathbb{Z}^n/M\mathbb{Z}^n) = |\det(M)|$?
87425
Prove that if $A$ is a square matrix with integer entries and $\det(A) = \pm 1$, then $A^{-1}$ contains all integer entries.
73099
Why is $d(x^2)= 2xdx$?
52621
Why is $\det(A - \lambda I)$ zero?
87676
Why is determinant a multilinear function?
118304
If $A^2 = I$ (Identity Matrix) then $A = \pm I$
7384
How do I prove that $m(TE)=\left|\det(T)\right|m(E)$?
113518
Determinant of the inverse matrix
131212
Prove that if $A$ is regular then $\operatorname{adj}(\operatorname{adj}(A)) = (\det A)^{n-2} A$
14646
Prove $\det(kA)=k^n\det A$
133847
Derivative of determinant of a matrix
127085
Bound on the difference of two determinants