New posts in Eigenvalues Eigenvectors

Is there any obvious way to enforce a minimum amount of "positive definiteness" on a matrix?

If $A$ and $B$ have non-negative eigen values then can we conclude that $A+B$ has non-negative eigen values?

How to impose orthonormality constraints by method of Lagrange multipliers

Positive matrix with integer eigenvalues

Matrix with even integers entries doesn't have odd eigenvalue

Is it acceptable to have a fraction in an eigenvector?

If $V = \text{null}(\textsf{T}-\lambda\textsf{I}) \oplus \text{range}(\textsf{T}-\lambda\textsf{I})$, then prove that $\textsf{T}$ is diagonalizable

Do eigenvectors of a squared matrix A tell us anything about the eigenvectors of A?

How can I prove mathematically the reflection matrix has only the eigenvalues 1 or -1?

Is every eigenvector of AA an eigenvector of A?