Show that if $A,B \in \mathcal M_n(\mathbb{R})$ are positive semidefinite and $\lambda$ is an eigenvalue of $AB$ then $\lambda \geq 0$.Show that if $A,B \in \mathcal M_n(\mathbb{
Show that if $A,B \in \mathcal M_n(\mathbb{R})$ are positive semidefinite and $\lambda$ is an eigenvalue of $AB$ then $\lambda \geq 0$.Show that if $A,B \in \mathcal M_n(\mathbb{