Proof explanation about the computation of a certain determinant by Sylvester's theorem
58921
How to calculate the determinant of all-ones matrix minus the identity?
79907
Determinant of a square matrix in a field
69641
Determinant identity: $\det M \det N = \det M_{ii} \det M_{jj} - \det M_{ij}\det M_{ji}$
116136
Proof that the inverse of a square matrix is unique
94639
Proof that the rank of a skew-symmetric matrix is at least $2$
55056
To show: $\det\left[\begin{smallmatrix} -bc & b^2+bc & c^2+bc\\ a^2+ac & -ac & c^2+ac \\ a^2+ab & b^2+ab & -ab \end{smallmatrix}\right]=(ab+bc+ca)^3$
87425
Prove that if $A$ is a square matrix with integer entries and $\det(A) = \pm 1$, then $A^{-1}$ contains all integer entries.
14646
Prove $\det(kA)=k^n\det A$
91028
determinant of a matrix with binomial coefficient entries
22933
Closed-form solution for the determinant of a Vandermonde-like matrix
57027
Determinant of this skew symmetric matrix
69980
Proving that if $A$ is an $n\times n$ orthogonal matrix, then $\det(A) = \pm1$
54740
Proofs of Determinants of Block matrices
150715
Prove that the determinant of skew-symmetric matrices of odd order is zero
152932
Proof: $\det\pmatrix{\langle v_i , v_j \rangle}\neq0$ $\iff \{v_1,\dots,v_n\}~\text{l.i.}$
134244
Determinant of a matrix will all off-diagonal elements equal
138342
Proof of a matrix exponential identity