New posts in Matrix Equations

Matrix equation with diagonal matrix

Difficult matrix equation $A(x-x_0) + \alpha\left(\frac{\Sigma x}{\mu^\top x}\right) = 0$

How to solve the matrix equations: $\frac{1}{2}(\Omega Q - Q\Omega)=F$ for $\Omega$

Find positive definite $X$ such that $AXA^T=\alpha X$.

Find matrix $A\in \mathcal{M}_n (\mathbb{N})$ such that $A^k =\left( \sum_{i=1}^{k}10^{i-1} \right)A$.

How can I prove $A − A(A + B)^{−1}A = B − B(A + B)^{−1}B$ for matrices $A$ and $B$?

A linear algebra problem regarding $AB-BA=A$

Derivative of $(uA+C)^{-1}\mathbf{b}$ w.r.t. $u\in\mathbb{R}$

exp(log + log) for positive semidefinite matrices

$ A^2 - B^2 = I_{2n+1} \implies det(AB-BA)=0 $ where A,B are complex matrices of odd size