New posts in Symmetric Matrices

Calculate the determinant of the following n x n symmetric matrix:

Can the trace of a positive matrix increase under a projection?

How can I find real, symmetric matrices $A,B$ such that $Ax =\lambda B x $ has no real eigenvalues and eigenvectors?

$ Ax\cdot x>0$ and $Ay\cdot y>0$ implies $(Ax\cdot x)(Ay\cdot y)\geq (Ax\cdot y)^2$?

Convexity of $\{x\in \mathbb R^n,\;x^TAx\leq t\}$ for all $t$ implies that $A$ is p.s.d.

The squares of skew-symmetric matrices span all symmetric matrices

Characterizing the dual cone of the squares of skew-symmetric matrices

Differentiate expressions involving symmetric matrix $\mathbf{D}=\mathrm{diag}(\tau)\Omega\mathrm{diag}(\tau)$ with respect to element of $\tau$

Are conjugate vectors unique?

Is there any intuition why the following matrix is positive semidefinite?