Positive eigenvalues and/or positive definiteness of $A^+DA$
7457
Prove that $J^+AJ$ has positive eigenvalues
114208
Does non-symmetric positive definite matrix have positive eigenvalues?
135420
Determining eigenvalues, eigenvectors of $A\in \mathbb{R}^{n\times n}(n\geq 2)$.
118417
Is $AA^T$ positive semidefinite?
153372
Characterization of positive definite matrix with principal minors
69349
If $A$ is positive definite, then $\int_{\mathbb{R}^n}\mathrm{e}^{-\langle Ax,x\rangle}\text{d}x=\left|\det\left({\pi}^{-1}A\right)\right|^{-1/2}$
132366
Diagonalizability of $A \in M_{n}(\Bbb{R})$ (Upper traingular matrix) with all diagonal entries 1 and $A \neq I$?
36567
$A^{T}A$ positive definite then A is invertible?
37117
Sum of positive definite matrices still positive definite?
144019
A strictly positive operator is invertible
94424
Matrices and Eigenvalues of Norm
29454
A and B are real, symmetric and positive semi-definite matrices of the same order; is AB diagonalizable?
44652
Minimum and Maximum eigenvalue inequality from a positive definite matrix.
115467
Eigenvalues of Householder matrix
3408
Do positive semidefinite matrices have to be symmetric?
153127
Is $U=V$ in the SVD of a symmetric positive semidefinite matrix?
90964
Prove: symmetric positive definite matrix