Ononot — Let A and B be n \times n matrices. Consider the 2n \times 2

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Eigenvalues & Eigenvectorsmedium

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Let $A$ and $B$ be $n \times n$ matrices. Consider the $2n \times 2n$ block matrix $M = \begin{pmatrix} 0 & A \\ B & 0 \end{pmatrix}$ . If $\mu$ is a non-zero eigenvalue of the product $AB$ , which of the following is/are eigenvalues of $M$ ?