# Questions tagged [matrices]

Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.

**51**

**4**answers

### Eigenvalues of matrix sums

**18**

**3**answers

### Number of unique determinants for an NxN (0,1)-matrix

**38**

**3**answers

### The probability for a symmetric matrix to be positive definite

**7**

**1**answer

### Bound for largest eigenvalue of symmetric matrices of uniform random variables over $[0,1]$ and fixed $1$s along diagonal and scattered $1$s

**36**

**6**answers

### Determinant of sum of positive definite matrices

**16**

**7**answers

### Expected determinant of a random NxN matrix

**18**

**4**answers

### Jacobi's equality between complementary minors of inverse matrices

**11**

**5**answers

### Eigenvalues of Symmetric Tridiagonal Matrices

**2**

**5**answers

### About adding a negative definite rank-1 matrix to a symmetric matrix

**3**

**2**answers

### functions with orthogonal Jacobian

**87**

**9**answers

### Should the formula for the inverse of a 2x2 matrix be obvious?

**13**

**2**answers

### Conditions for smooth dependence of the eigenvalues and eigenvectors of a matrix on a set of parameters

**19**

**1**answer

### Eigenvalues of the product of two symmetric matrices

**12**

**1**answer

### A maximal element, where Schur gives a minimal element

**10**

**2**answers

### Eigenvalues of nonnegative integer matrices

**237**

**25**answers

### Geometric Interpretation of Trace

**20**

**6**answers

### how to find/define eigenvectors as a continuous function of matrix?

**28**

**4**answers

### Adjacency matrices of graphs

**12**

**5**answers

### Can always a family of symmetric real matrices depending smoothly on a real parameter be diagonalized by smooth similarity transformations?

**20**

**3**answers

### Simultaneous “orthonormalization” in $\mathbb{C}^4$

**15**

**3**answers

### Distribution of the spectrum of large non-negative matrices

**30**

**7**answers

### Does the truth of any statement of real matrix algebra stabilize in sufficiently high dimensions?

**14**

**5**answers

### Eigenvalues of a matrix with entries involving combinatorics

**13**

**3**answers

### How to solve this quadratic matrix equation?

**9**

**2**answers

### Is this a metric on the Grassmannian Manifold?

**21**

**1**answer

### maximal order of elements in GL(n,p)

**14**

**4**answers

### Eigenvectors of a particular transition matrix

**13**

**2**answers

### A log inequality for positive definite trace-one matrices

**13**

**2**answers

### in search of a transformation between determinants

**6**

**0**answers

### concentration for eigenvectors

**15**

**3**answers

### Is this lower bound for a norm of some complex matrices true?

**12**

**5**answers

### Bounding the absolute sum of entries of the inverse of a 0-1 matrix

**12**

**1**answer

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

**10**

**1**answer

### $2 \times 2$ matrix question

**7**

**0**answers

### Bound on gap between least eigenvalues of $n \times n$ correlation matrix and of its $(n -1) \times (n-1)$ submatrices

**4**

**1**answer

### Eigenvectors as continuous functions of matrix - diagonal perturbations

**14**

**0**answers

### The rank of a “triangle-free” matrix

**12**

**0**answers

### Pointwise (Hadamard) matrix product and the rank

**11**

**1**answer

### A variant of Cholesky decomposition involving binary matrices

**23**

**3**answers

### Is every positive integer the permanent of some 0-1 matrix?

**7**

**1**answer

### Grassmann-Plücker relations for permanents

**7**

**1**answer

### Eigenvectors of a matrix with entries involving combinatorics

**9**

**1**answer

### Eigenvalues of the sum of a diagonal and a unit matrix

**5**

**1**answer

### The spectral radius of a binary matrix - polynomial growth?

**5**

**0**answers

### 0-1 matrix combinatorial problem

**4**

**0**answers

### Generalizing Autonne-Takagi factorization

**8**

**1**answer

### The saturation of Murray von Neumann relation

**8**

**1**answer

### “Almost Hankelized” numerical Vandermonde

**5**

**1**answer

### Is there an efficient algorithm to check whether two matrices are the same up to row and column permutations?

**4**

**1**answer