Show that determinant of $\small\begin{pmatrix}2 & 2 & 8\\ 3& 2 & 3 \\ 4 & 5 & 6\end{pmatrix}$ is divisible by $19$
5183
Divisibility of determinant.
61580
Calculating the determinant gives $(a^2+b^2+c^2+d^2)^2$?
40517
Determinant of a non-square matrix
117769
How to show that the determinant of this matrix is in a nice product factorization,
55056
To show: $\det\left[\begin{smallmatrix} -bc & b^2+bc & c^2+bc\\ a^2+ac & -ac & c^2+ac \\ a^2+ab & b^2+ab & -ab \end{smallmatrix}\right]=(ab+bc+ca)^3$
79907
Determinant of a square matrix in a field
63119
Let $M=\big( \begin{smallmatrix} A & B \\ C & D \end{smallmatrix} \big)$. Prove $\det(M)=\det(A)\cdot \det(D-C·A^{-1}·B)$.
127085
Bound on the difference of two determinants
142640
Prove determinant of a matrix $=\prod_{j<i}(a_i-a_j)$
110200
Determinant of a Special Symmetric Matrix
150715
Prove that the determinant of skew-symmetric matrices of odd order is zero
57027
Determinant of this skew symmetric matrix
18964
Find the determinant of $I + A$
146438
Determinant of a special skew-symmetric matrix
124685
How to show $(mn)!$ is divisible by $(m!)^n$?
40659
Recurrence relation for the determinant of a tridiagonal matrix
62933
Determine a determinant is divisible by 23 or not