# 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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### How to minimize n-polytope's bounding box with linear transformation?

**4**

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### How to find the analytical representation of eigenvalues of the matrix $G$?

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### Computing spectrum of convex combination of SPD matrices given individual spectral decompositions

**1**

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### Existence of subspace which is totally non-invariant under unitary transformation

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### How to solve this system of Matrix equations? (Coupled riccati equations?)

**1**

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### Injective differential of linear operators on a Hilbertspace

**12**

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### A matrix identity related to Catalan numbers

**0**

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### Proof of A Positive Definite Covariance Matrix

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### Problem of expressing a two matrices product

**-2**

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### What can we say about the rank of the sum of a multiple of the identity matrix and a symmetric rank-$1$ matrix? [closed]

**18**

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### A linear algebra problem in positive characteristic

**2**

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### Calculate percentage of symmetry of a given matrix

**1**

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### Derivative of complex matrix pseudo inverse with respect to real and imaginary components

**2**

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### Inverse of matrix $D + ADA^T$

**4**

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### Smith normal form and affine buildings

**1**

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### Sufficient conditions for all eigenvalues simple in stochastic matrix

**3**

**1**answer

### Approximating the expectation of a matrix inverse

**0**

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### Closed-form solution about a matrix factorization problem?

**4**

**1**answer

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

**5**

**1**answer

### Numerical minimization spectral norm under diagonal similarity

**5**

**2**answers

### Minimize spectral norm under diagonal similarity

**2**

**1**answer

### Symmetric orthogonal matrices with constant diagonal entries

**6**

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### A question on symmetric matrices

**1**

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### Hubbard–Stratonovich for matrices

**1**

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

**1**

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### Decomposition of a Matrix by Sparse Matrices

**1**

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### find linear approximation of non-linear matrix transform [closed]

**4**

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### Rank of binary matrix related to the number of positive squarefree integers less than $n$

**2**

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### Characterizing a subclass of row-orthogonal matrices

**1**

**1**answer

### Dimension (manifold) of matrices with exact $r$ positive and $r$ negative eigenvalues

**2**

**1**answer

### When does a row standardized adjacency matrix have a real spectrum?

**6**

**1**answer

### Is this generalization of the Hopf map for quadratic field extensions surjective?

**4**

**1**answer

### Positive definite matrices diagonalised by orthogonal matrices that are also involutions

**1**

**1**answer

### Equivalence of matrices over a vector space

**5**

**1**answer

### Finding a particular matrix factor

**14**

**2**answers

### What are the periodic Dyck paths?

**0**

**1**answer

### Cholesky decomposition – non-positive definite matrix

**0**

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### Numerical error on the spectrum of a matrix

**4**

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### How to find eigenvalues of following block matrices?

**2**

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### Is it possible to compute a valid Laplacian matrix from an effective resistance matrix?

**3**

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### Group generated by symmetric shears

**6**

**1**answer

### An Optimization Problem with Complex Variables, regarding Eigenvalues of Circulant Matrices

**1**

**1**answer

### On ranks of matrices with tensor structure

**4**

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### Generalizing Autonne-Takagi factorization

**11**

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### Fast computation of matrix product $AXA^T$ with fixed $A$?

**2**

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### Maximise singular value decay by sparse matrix approximation

**4**

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### Does this fact about the minimal polynomial give an efficient diagonalizability criterion?

**15**

**3**answers

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

**0**

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### prove the singularity of a matrix as solution of a non-linear equation

**1**

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