Prove det$(AA^t)=nk^2$
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 $\det(AA^T)=nk^2.$
54740
Proofs of Determinants of Block matrices
121706
Show $\text{det}(A)$ is divisible by $2^{n-1}$
10083
Determinant of matrix times a constant.
127085
Bound on the difference of two determinants
153961
Determinant of $2 \times 2$ block matrix with commuting blocks
129743
$A$ be a $2\times 2$ real matrix with trace $2$ and determinant $-3$
8554
Proof: $\mathrm{adj}(\mathrm{adj}(A)) = (\mathrm{det}(A))^{n-2} \cdot A$ for $A \in \mathbb{R}^{n\times n}$
133756
Geometric interpretation of $\det(A^T) = \det(A)$
22149
How to prove $dim(Ker (A- \lambda I))=dim (Ker(A^t- \lambda I))$?
79031
Determinant of the Kronecker Product of Two Matrices
46825
The identity det(A) = exp(Tr(ln(A)) for A general
15452
Proving determinant product rule combinatorially
104258
Proof Verification: $\dim\mathrm{Im} T+\dim\ker T=\dim V$
50266
In the following figure prove that: $AK||BC$
101631
Determinant of a finite-dimensional matrix in terms of trace
69641
Determinant identity: $\det M \det N = \det M_{ii} \det M_{jj} - \det M_{ij}\det M_{ji}$