Number of matrices with positive determinant whose entries are {1,-1}
113169
Number of $\pm 1$ matrices whose determinant is negative or zero
87425
Prove that if $A$ is a square matrix with integer entries and $\det(A) = \pm 1$, then $A^{-1}$ contains all integer entries.
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 $\det(AA^T)=nk^2.$
126769
Linear independence of columns implies non-zero determinant
30456
The number of $2 × 2$ invertible matrices with entries from field $\mathbb{Z}_p$
151526
Determinant of a matrix with different cases for its entries
517
Determinant of a specially structured matrix ($a$'s on the diagonal, all other entries equal to $b$)
142307
Counting invertible $0$-$1$ matrices that remain invertible under negating the diagonal
98646
Show determinant of matrix is non-zero
41813
How to prove positive (semi-)definitness in matrix notation without numbers
1865
Sub-determinants of an orthogonal matrix
72578
Determinant value of a square matrix whose each entry is the g.c.d. of row and column position
54740
Proofs of Determinants of Block matrices
65158
Oddity: Determinant of Skew-Symmetric $n\times n$ Matrices
17584
Integer matrices with integer inverses
127127
Prove condition number of a invertible matrix is atleast one
60231
Number of equivalence classes of matrices under switching rows and columns