Prove the inverse of the Hilbert matrix has integer entries
25159
Why does the inverse of the Hilbert matrix have integer entries?
42467
Inverse of an invertible triangular matrix (either upper or lower) is triangular of the same kind
74341
Proving an invertible matrix which is its own inverse has determinant $1$ or $-1$
121987
Direct proof that nilpotent matrix has zero trace
35345
How do i prove invertibility of this linear transformation
48238
Prove the positive definiteness of Hilbert matrix
51406
Determinant of a block matrix times the determinant of the inverse of a block
91028
determinant of a matrix with binomial coefficient entries
52040
"Inverse" of an $n\times k$ matrix.
130268
How to prove that a nilpotent matrix is not invertible?
259
Proving the determinant of a tridiagonal matrix with $-1, 2, -1$ on diagonal.
152932
Proof: $\det\pmatrix{\langle v_i , v_j \rangle}\neq0$ $\iff \{v_1,\dots,v_n\}~\text{l.i.}$
113518
Determinant of the inverse matrix
153506
Proving the inverse of a matrix equals $I_n-\frac{1}{n-1}A$
119052
Finding invertible elements in $\mathbb{Z}/m\mathbb{Z}$
82925
Let the matrix $A=[a_{ij}]_{n×n}$ be defined by $a_{ij}=\gcd(i,j )$. How prove that $A$ is invertible, and compute $\det(A)$?
141015
Proof of orthogonal matrix