Criteria for the difference of two matrices to be positive semidefinite when the eigenvectors are known
135171
Under what conditions is the difference between a rank $1$, postive semidefinite matrix and a hermitian matrix positive semidefinite?
153127
Is $U=V$ in the SVD of a symmetric positive semidefinite matrix?
86940
Proving an inequality in Eigenvalues of a matrix
140252
Matrices - Conditions for $AB+BA=0$
110484
Condition on a matrix so that its determinant is $2$
12394
Overlapping positive definite block matrices
134981
Eigenvalues of $L^\dagger L$ are positive
18470
A practical way to check if a matrix is positive-definite
15969
How to prove that $A$ is positive semi-definite if all principal minors are non-negative?
30268
Positive definite matrix must be Hermitian
106024
The eigenvalues and corresponding eigenvectors for the matrix
146405
Norm with symmetric positive definite matrix
33591
Product of two matrices sharing the same eigenvector
156868
Why is finding $M$ eigenvectors on smaller matrix valid?
88746
Positive definiteness of the matrix $A+B$
135252
If $M$ is positive definite, then $\operatorname{det}{(M)}\leq \prod_i m_{ii}$
100656
$2\times2$ matrix $A$ such that $A$ has one independent eigenvector while $A^{2}$ has two independent eigenvectors