# 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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### Smallest eigenvalue for Gram matrix of unit norm matrices

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### Infinite spectral norm of linear mapping

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### On the exponent of a certain matrix $A$ in characteristic $p > 0$

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### Finding the minimum sum of a subset of entries of a given matrix with combinatorial constraints

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### inequality for the difference between largest eigenvalues of an irreducible matrix $A$ and a matrix $B$ with all the entries non-negative

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### Schemes obtained replacing variables by $n \times n$ matrices?

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### Completely positive matrix with positive eigenvalue

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### How to find a “near LCM” of multiple numbers or common multiples with the least emainder that isn't zero [closed]

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### Are there large integer matrices with entries computable in polynomial time, such that all minors are nonzero?

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### A question about special linear group

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### Distance between subalgebras and positive elements in matrices

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### Matrix eigenvalues inequality (3)

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### Matrix eigenvalues inequality (2)

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### Marginal Distribution of Partition Matrix

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### Reachability of eigenvalues for additive matrix equation

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### Matrix eigenvalues inequality (1)

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### random matrix integration

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### Stability analysis with minimal spectral norm

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### Intersection between a line and a n dimensional parallelotope

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### An inequality concerning the eigenvalues and eigenvectors of an SPD matrix

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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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### 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 $\mathbf{B}$? [duplicate]

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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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### Solving Problem: LMIs and block matrices

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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 $\mathbb C$-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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