New posts in Determinant

Proving that $u_{n}\in\mathbb{Z}\forall n\ge 0$, such that $\det \begin{bmatrix}u_{n} & u_{n+1} \\ u_{n+2}&u_{n+3}\end{bmatrix}=n!\forall n\ge 0$

Calculating determinant of a symmetric matrix where the $k$th row is given by $[a_{k-1},a_k,...,a_0,a_1,...,a_{n-(k-1)}]$

Finding xy+yz+zx such that the given determinant = 0

How to prove that when $n$ is even, and $A = (a_{ij})_{i,j}$, $1\leq i,j\leq n$ to show that $\mathrm{det} A = 1$?

Why is $\det(I + A^{50}) = 4$ here?

$ A^2 - B^2 = I_{2n+1} \implies det(AB-BA)=0 $ where A,B are complex matrices of odd size

Prove existence of evaluation points such that the matrix has nonzero determinant

Prove that $\det(AB - BA) = \frac{1}{3}\left(\mathrm{Trace}(AB - BA)^3\right)$

$\text{det}(\text{abs}({\bf d - d}^T))$ being zero implies two or more elements equal in $\bf d$?

True/false: $\det(A^2+I)\ge 0$ for every $3 \times 3$ matrix with real entries and rank $>0$