Proof: Determinant of cofactors is square of determinant
93903
What is the determinant of cofactor matrix of a matrix?
71604
Why is the determinant of the 0x0 matrix equal 1?
81181
Prove that $\det(M-I)=0$ if $\det(M)=1$ and $MM^T=I$
101631
Determinant of a finite-dimensional matrix in terms of trace
40538
On determinants and common divisors
20331
Determinant of a $2\times 2$ block matrix
57027
Determinant of this skew symmetric matrix
104575
Formula for determinant of block matrix with commuting blocks
121358
What is the exact relation between a full rank matrix and its determinant?
133449
A proof that an orthogonal matrix with a determinant 1 is a rotation matrix
69641
Determinant identity: $\det M \det N = \det M_{ii} \det M_{jj} - \det M_{ij}\det M_{ji}$
54740
Proofs of Determinants of Block matrices
22149
How to prove $dim(Ker (A- \lambda I))=dim (Ker(A^t- \lambda I))$?
128723
The determinant of adjugate matrix
62123
Proving that Tensor Product is Associative
131212
Prove that if $A$ is regular then $\operatorname{adj}(\operatorname{adj}(A)) = (\det A)^{n-2} A$
126561
Proof of equivalence of algebraic and geometric dot product?