Matrix theory is the study of matrices as concrete objects, rather than as abstract linear operators between vector spaces (whose study belongs to [tag:linear-algebra]). For instance, this involves matrix factorizations and decompositions, nonnegative matrices and Perron-Frobenius theory, Schur ...

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### A parametrization of a class of stable matrices

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### Is the linear span of special orthogonal matrices equal to the whole space of $N\times N$ matrices?

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### Bounds of Procrustes problem

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### About product of PSD matrices

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### Matrix Bernstein for spherical random variables

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### Clebsch–Gordan decomposition for $\mathrm{SU}(2)$, in indices

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

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

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### Characterizing a subclass of row-orthogonal matrices

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### On ranks of matrices with tensor structure

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### Generalizing Autonne-Takagi factorization

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### Connections between eigenvectors after matrix multiplication

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### On a condition for a matrix sum to be zero

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### Square root of a large sparse symmetric positive definite matrix

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### An upper bound on the Jordan condition number of a matrix

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### Classifications of the indefinite generalized Cartan matrix

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### Well known matrix inequality?

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### Differentiability of Eigenvalues - Perturbation Theory

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### Is it hard to decide whether a matrix is a square of another matrix?

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### Finding an adjacency matrix whose cube's diagonal is equal to a given vector

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### Nuclear norm as minimum of Frobenius norm product

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### A variant of Specht's Theorem using sum of elements (rather than trace) of complex matrices?

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### An inequality regarding projection

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

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### Is there a usual technical term for this set-valued function associated to a zero-one matrix?

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### Regarding minimal elementary generators for $GL(n, \mathbb{Z})$

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### Matrix continued fractions

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### Lower bounds on eigenvalues of Lyapunov solutions

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### A Handbook of Matrix Factorizations

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### Eigenvalues and eigenvectors of tridiagonal matrices

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### Matrix elements of exponential of tridiagonal matrices

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

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

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### If $S$ is a nonsingular symmetric matrix over a number field and $D_k$ is its principal minor of order $k$, is $\frac{D_k}{D_{k-1}} > 0$ always true?

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### Inverse of particular lower triangular matrix

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### Proving symmetry of trace function of special matrix

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### A property of positive matrices

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### The inverse of sum of two positive matrices with almost orthogonal supports

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### Ruelle-Perron-Frobenius for continuous time

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### Matrix inequality with arbitrary large ratios

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### Is the determinant the only multiplicative matrix function? [closed]

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### Number of distinct rows and columns in a matrix with bounded number of entries

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### A vanishing sum of symmetric matrices

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### On ranks of specific products

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### What is this matrix decomposition called and does it exist always? - II

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### On sum of matrices

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### What is this matrix decomposition called and does it exist always?

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### Closed-form expression for differential of matrix function

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### Completing the square of a matrix expression

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