# 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.

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### Intersection of parameterized cosets in a free-abelian group

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### Determinants of binary matrices

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### Are there nice isomorphisms $\operatorname{S}^2(k^n)\cong\Lambda^2(k^{n+1})$?

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### Techniques for minimizing function [on hold]

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### Are Linear Maps resistant to Noise?

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### What are these matrices called?

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### How to find the best similarity transformation between two symmetric matrices $\mathbf{A}$ and $\mathbf{B}$?

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### How to show that a continuous family of symmetric matrices is uniformly positive?

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### Direct product of free groups in $\mathrm{SL}_3(\mathbb{Z})$

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### Similar reduced integral matrices

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### Lower bound of positive entropies of automorphisms on tori

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### Volume of polyhedron

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### Automorphisms of $GL_n(\mathbb{Z})$

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### $(AB)^+\approx B^+A^+$ for $B$ “fat” enough?

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### Operator norm of a soft thresholded symmetric matrix

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### Exact eigendecomposition of a specific Toeplitz matrix

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### Eigenstructure and condition number of a block symmetric matrix

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### A generalization of invariant and coinvariant subspaces

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### Orthogonal Matrices and Cosets (translates) of Linear Subspaces

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### A limiting sequence of positive definite matrices

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### The minimum rank of a matrix with a given pattern of zeros

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### Estimating Maximal-Clique of Metric Graphs via the Rank of their Adjacency Matrix

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### An inequality for matrix norms

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### Matrix Product Chain Representation of an Addition Chain [closed]

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### On the existence of fixed points of a matrix iteration

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### A question related to (random) matrix factorization

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### A $\mathbb C$-linear map from $M(p-1,\mathbb C)$ to $\mathbb C^\hat G$, where $p$ is an odd prime and $G=\mathbb Z/(p) ^\times$

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### Existence of orthogonal basis of symmetric $n\times n$ matrices, where each matrix is unitary?

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### k-rank numerical range of an operator

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### Largest eigenvalue of product of orthogonal-projection rank-1 perturbation

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### Set of integer matrices $A$ such that $(A^k)_{k\in\mathbb{N}}$ is eventually periodic

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### How to verify the characteristic polynomial? [closed]

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### A generalization of matrix minors to non-integer values

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### Computing with a vector subspace equipped with a prescribed basis over finite fields

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### matching two positive-semidefinite matrices

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### Generic deformation of matrix

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### Decide if a matrix is transposable

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### Spin groups in terms of matrices and/or linear operators

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### Determinant of a block matrix with many $-1$'s

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### Determinant of a matrix filled with elements of the Thue–Morse sequence

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### Largest eigenvalues of a (random) correlation matrix?

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### Matrix completion in $2\times2$ case by nuclear norm minimization to guarantee rank $1$?

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### Is there a formula for the determinant of a block matrix of this kind?

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### Making binary matrix positive semidefinite by switching signs

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### Legendre's three-square theorem and squared norm of integer matrices

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### Can a rational symmetric matrix $A$ be diagonalized as $A = P \Lambda S$ for some $P, S $ in the general linear group?

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### Reference request: Oldest linear algebra books with exercises?

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### A peculiar operation on $M_2(\mathbb Z)$ which along with the usual matrix addition, makes $M_2(\mathbb Z)$ into a commutative ring with unity [closed]

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### Eigenvalue density of a symmetric tridiagonal matrix

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