Determinant of unit identity matrix is equal to the trace plus one of that matrix?
2271
Determinant of a rank $1$ update of a scalar matrix, or characteristic polynomial of a rank $1$ matrix
106305
Prove/disprove: if $\det(A+X) = \det(B + X)$ for all $X$, then $A=B$
1865
Sub-determinants of an orthogonal matrix
20331
Determinant of a $2\times 2$ block matrix
20920
Determinant of a block skew-symmetric matrix
7205
Find the determinant of $A + I$, where $A$ is a real matrix such that $AA^{\top}=I$ and $\det A<0$.
151526
Determinant of a matrix with different cases for its entries
101452
How is the determinant related to the inverse of matrix?
72326
Determinant of block matrix with commuting blocks
98135
Show that the determinant of $A$ is equal to the product of its eigenvalues
142363
The determinant of a block Matrix of Order $2n$
134244
Determinant of a matrix will all off-diagonal elements equal
74341
Proving an invertible matrix which is its own inverse has determinant $1$ or $-1$
155537
Intuition of the cyclic trace property of matrix products and relation to the determinant?
32487
Proving $\det \left( \begin{smallmatrix} A & -B \\ B & A \end{smallmatrix} \right) =|\det(A+iB)|^2$
30037
What information does the trace of a matrix give?
120649
Calculate a determinant with pattern