1 1 vote Let $A$ and $B$ be two square matrices that have full rank. Let $\lambda_{A}$ be an eignevalue of $A$ and $\lambda_{B}$ an eigenvalue of $B$. Which of the following is always $\text{TRUE}?$ $A B$ has full rank $A-B$ has full rank $\lambda_{A} \lambda_{B}$ is an eigenvalue of $A B$ $A+B$ has full rank At least one of $\lambda_{A}$ or $\lambda_{B}$ is an eigenvalue of $A B$ Linear Algebra tifrece2019 linear-algebra matrices + – admin 325 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.
