Equality of determinants $\det(1+AB)=\det(1+BA)$
12355
Sylvester's determinant identity
81181
Prove that $\det(M-I)=0$ if $\det(M)=1$ and $MM^T=I$
20331
Determinant of a $2\times 2$ block matrix
57027
Determinant of this skew symmetric matrix
142957
How to evaluate the determinant
51834
Positivity of a determinant
76200
Is the rank of $AB$ always equal to the rank of $BA$?
110484
Condition on a matrix so that its determinant is $2$
32487
Proving $\det \left( \begin{smallmatrix} A & -B \\ B & A \end{smallmatrix} \right) =|\det(A+iB)|^2$
29568
Prove that the determinant of $ A^{-1} = \frac{1}{det(A)} $- Linear Algebra
84626
Why in these matrices are $AB=BA$ not equal? What is the logic behind them?
69980
Proving that if $A$ is an $n\times n$ orthogonal matrix, then $\det(A) = \pm1$
71151
If $a_{ij}=\max(i,j)$, calculate the determinant of $A$
60900
If $A^2=-I$, Prove that $\det{A}=1$
6091
Similarity of products $AB$ and $BA$ of square matrices
2271
Determinant of a rank $1$ update of a scalar matrix, or characteristic polynomial of a rank $1$ matrix
101631
Determinant of a finite-dimensional matrix in terms of trace