Algebraic proof that $\det AB = \det A \cdot \det B$ using Leibniz formula for determinants
15452
Proving determinant product rule combinatorially
10083
Determinant of matrix times a constant.
259
Proving the determinant of a tridiagonal matrix with $-1, 2, -1$ on diagonal.
115905
The determinant of block triangular matrix as product of determinants of diagonal blocks
106511
Determinant of the sum of matrices: $\det (A + B^T) = \det(A^T + B)$
106305
Prove/disprove: if $\det(A+X) = \det(B + X)$ for all $X$, then $A=B$
85167
When A and B are of different order given the $\det(AB)$,then calculate $\det(BA)$
18964
Find the determinant of $I + A$
69980
Proving that if $A$ is an $n\times n$ orthogonal matrix, then $\det(A) = \pm1$
101313
Minimal polynomial, determinants and invertibility
117769
How to show that the determinant of this matrix is in a nice product factorization,
74341
Proving an invertible matrix which is its own inverse has determinant $1$ or $-1$
101040
Prove the equality: $\det\left[\begin{smallmatrix} -2a &a+b &a+c \\ b+a&-2b &b+c \\ c+a&c+b &-2c \end{smallmatrix}\right] = 4(a+b)(b+c)(c+a)$
2271
Determinant of a rank $1$ update of a scalar matrix, or characteristic polynomial of a rank $1$ matrix
150715
Prove that the determinant of skew-symmetric matrices of odd order is zero
51800
We have matrix $A\in M_{n-1\times n}(\mathbb Z)$ so that the sum of entries in each row is zero. Prove that $\det(AA^T)=nk^2.$
107128
Let $B$ be a nilpotent $n\times n$ matrix with complex entries let $A = B-I$ then find $\det(A)$