What is the proof that det(A) = det(A transpose)?
133756
Geometric interpretation of $\det(A^T) = \det(A)$
121706
Show $\text{det}(A)$ is divisible by $2^{n-1}$
150715
Prove that the determinant of skew-symmetric matrices of odd order is zero
125348
Does $\det(A + B) = \det(A) + \det(B)$ hold?
74341
Proving an invertible matrix which is its own inverse has determinant $1$ or $-1$
103061
Why is it true that $\mathrm{adj}(A)A = \det(A) \cdot I$?
101040
Prove the equality: $\det\left[\begin{smallmatrix} -2a &a+b &a+c \\ b+a&-2b &b+c \\ c+a&c+b &-2c \end{smallmatrix}\right] = 4(a+b)(b+c)(c+a)$
7376
Find $\det(A^{2}+A^{T})$ when eigenvalues are $1,2,3$
67784
If $A + A^t = 2I$ then $\det(A) \geq 1$
69980
Proving that if $A$ is an $n\times n$ orthogonal matrix, then $\det(A) = \pm1$
142980
If $\,A^k=0$ and $AB=BA$, then $\,\det(A+B)=\det B$
45261
Why is the determinant of a rotation matrix equal to 1?
101452
How is the determinant related to the inverse of matrix?
90486
If $(A-B)^2=O_2$ then $\det(A^2 - B^2)=(\det(A) - \det(B))^2$
129647
$A^{-1}$ has integer entries if and only if the ${\rm det}\ (A) =\pm 1$
143923
Why can the cross product of two vectors be calculated as the determinant of a matrix?
79031
Determinant of the Kronecker Product of Two Matrices