Proving a formula for the derivative of the determinant of an $n\times n$ matrix
30836
Derivative of a determinant whose entries are functions
51406
Determinant of a block matrix times the determinant of the inverse of a block
142640
Prove determinant of a matrix $=\prod_{j<i}(a_i-a_j)$
152637
Determinant of a specific circulant matrix, $A_n$
63118
Finding the closed form of the determinant of the Hilbert matrix
54740
Proofs of Determinants of Block matrices
37537
Show that $det(A)=0$ for a Matrix $A$ Such That for $X=[2,3,4]^{T}$, $AX=0$
81181
Prove that $\det(M-I)=0$ if $\det(M)=1$ and $MM^T=I$
20331
Determinant of a $2\times 2$ block matrix
69980
Proving that if $A$ is an $n\times n$ orthogonal matrix, then $\det(A) = \pm1$
79031
Determinant of the Kronecker Product of Two Matrices
15452
Proving determinant product rule combinatorially
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 $\det(AA^T)=nk^2.$
152932
Proof: $\det\pmatrix{\langle v_i , v_j \rangle}\neq0$ $\iff \{v_1,\dots,v_n\}~\text{l.i.}$
119076
General expression for determinant of a block-diagonal matrix
45658
Determinant of a special $n\times n$ matrix
151526
Determinant of a matrix with different cases for its entries