Questions about the determinant of square matrices or linear endomorphisms. Also for closely related topics such as minors or regularized determinants.

**7**

**1**answer

### Block matrices and their determinants

**1**

**0**answers

### Evaluate a curious determinant with Legendre symbol entries

**7**

**1**answer

### A new determinant question for primes $p\equiv3\pmod4$

**10**

**0**answers

### A determinant problem for primes $p\equiv 1\pmod4$

**13**

**3**answers

### Is $-\det\big[\big(\frac{i^2+j^2}p\big)\big]_{1\le i,j\le (p-1)/2}$ always a square for each prime $p\equiv 3\pmod 4$?

**5**

**0**answers

### Determinant arising in a problem from probability

**1**

**0**answers

### Determinant and restriction of scalar

**16**

**1**answer

### Lang's Jacobian identity: slicker, elementary proof?

**3**

**0**answers

### Evaluating a HUGE determinant

**4**

**0**answers

### Generalization of a determinant with Lucas numbers and totient functions

**16**

**2**answers

### Eigenvalues and eigenvectors of the matrix with entries $\dbinom{n+1}{2j-i}$ for $i, j = 1, 2, \ldots, n$

**4**

**1**answer

### Is there a fast algorithm to test positivity of all principal minors of non-symmetric matrix?

**10**

**0**answers

### multi-dimensional integral of modified Vandermonde determinant

**2**

**0**answers

### lower bounding the absolute value of a determinant

**9**

**2**answers

### Prove that the matrix $[\Gamma(\lambda_{i}+\mu_{j})]$ is nonsingular

**1**

**0**answers

### Decomposition of Determinant of Sub-Matrices of a Matrix

**8**

**0**answers

### Determinant as a Hamiltonian

**17**

**2**answers

### How to prove positivity of determinant for these matrices?

**2**

**0**answers

### Quasi-symmetric functions and determinants

**4**

**1**answer

### Is the map $A \to \bigwedge^{k}A $ from matrices above rank $k$ proper?

**13**

**2**answers

### Does $n^2$ divide $\det\left[\left(\frac{i^2+2ij+3j^2}n\right)\right]_{1\le i,j\le n-1}$ for each odd integer $n>3$?

**5**

**1**answer

### If $A \in \text{End}(\bigwedge^k \mathbb{R}^d)$ equals $\bigwedge^k B$ for some complex matrix $B$, does it have a real source?

**8**

**2**answers

### Does $\det\left[\left(\frac{i^2-\frac{p-1}2!\,j}p\right)\right]_{1\le i,j\le(p-1)/2}$ vanish for every prime $p\equiv3\pmod 4$?

**7**

**2**answers

### Does $(2n)!$ divide $\det[(i^2+j^2)^n]_{0\le i,j\le n-1}$ for each integer $n>2$?

**4**

**0**answers

### Does $n^2$ divide $\det[(i+j)^n]_{0\le i,j\le n-1}$ for each integer $n>2$?

**4**

**1**answer

### Are the determinants $\det[\mu(i+j-1)]_{1\le i,j\le n}$ and $\det[\mu(i+j)^2]_{1\le i,j\le n}$ always nonzero?

**12**

**1**answer

### Is the image of the map $A \to \bigwedge^k A$ closed over $\mathbb{R}$?

**8**

**0**answers

### Nonzero subdeterminants conjecture: has anybody seen this anywhere?

**6**

**2**answers

### Probability of a large random integer Matrix to have zero determinant

**3**

**1**answer

### Distribution of eigenvalues of a Wishart matrix

**9**

**2**answers

### Parallelepiped is defined by the volumes of its faces

**0**

**1**answer

### Prove a special form of Schur polynomial identity [closed]

**12**

**1**answer

### Some more binomial coefficient determinants

**13**

**1**answer

### A difficult determinant

**16**

**5**answers

### Expected value of determinant of simple infinite random matrix

**1**

**0**answers

### Traces in associative algebras

**26**

**2**answers

### Some binomial coefficient determinants

**5**

**3**answers

### How many $40$-vertex cubic bipartite graphs have determinant $\pm 3$?

**8**

**2**answers

### Does there exist a nonsingular graph for which the determinant of its adjacency matrix remains the same upon deleting a vertex?

**2**

**0**answers

### evolution of Grassmannians along geodesic line

**3**

**0**answers

### Fast Comparing of the Volume of Simplices Defined by Sidelengths

**0**

**1**answer

### $A_{n \times m} D_{m \times m} A^T_{m \times n} + \alpha I_{n \times n}$

**2**

**1**answer

### Equality or inequality for determinant of $A_{n \times m} D_{m \times m} A^T_{m \times n}$

**11**

**1**answer

### Determinant of identity matrix plus Hilbert matrix

**1**

**0**answers

### Has this logarithmic volume functional been studied?

**3**

**2**answers

### Determinant of Jacobian and directional derivatives

**6**

**0**answers

### Strange determinant inequality $\det(C+ xA) \det(C-xA) \le (\det C)^2$

**3**

**0**answers

### Determinant of structurally symmetric $n$-banded matrix?

**1**

**0**answers

### Relation between the sum of principal minors of different orders

**5**

**1**answer