Ononot — Let A and B be commuting n \times n complex matrices (AB = B

Guest Session: 1 Question Remaining. Create Account to save progress.

Eigenvalues & Eigenvectorshard

0:00.0

Let $A$ and $B$ be commuting $n \times n$ complex matrices ( $AB = BA$ ). If $\lambda$ is an eigenvalue of $A$ with a corresponding eigenspace $E_\lambda$ of dimension 1, which of the following is true?