Determinant of Matrix (I + A).
7205
Find the determinant of $A + I$, where $A$ is a real matrix such that $AA^{\top}=I$ and $\det A<0$.
109312
How is the matrix identity $\det\begin{pmatrix}A&B\\B&A\end{pmatrix}=\det(A+B)\det(A-B)$ proved?
17394
Sign of determinant when using $det A^\top A$
20653
Geometric meaning of the determinant of a matrix
142363
The determinant of a block Matrix of Order $2n$
7376
Find $\det(A^{2}+A^{T})$ when eigenvalues are $1,2,3$
135421
Determinant of an $n\times n$ Toeplitz matrix
119076
General expression for determinant of a block-diagonal matrix
70381
Find the determinant of a symmetric matrix
81770
Determinant of an $n\times n$ complex matrix as an $2n\times 2n$ real determinant
23224
$\mbox{rank}(A)=1$ implies $\det(A+I)=\mbox{trace}(A)+1$
4998
Question on determinants of matrices changing between integer matrices
60473
Efficient algorithm for calculating determinants
6005
Find the determinant of a Vandermonde-like matrix
120649
Calculate a determinant with pattern
55056
To show: $\det\left[\begin{smallmatrix} -bc & b^2+bc & c^2+bc\\ a^2+ac & -ac & c^2+ac \\ a^2+ab & b^2+ab & -ab \end{smallmatrix}\right]=(ab+bc+ca)^3$
58921
How to calculate the determinant of all-ones matrix minus the identity?