Ononot — Let A and B be two 2 \times 2 matrices where the eigenvalues

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Eigenvalues & Eigenvectorsmedium

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Let $A$ and $B$ be two $2 \times 2$ matrices where the eigenvalues of $A$ are $2, 3$ and the eigenvalues of $B$ are $4, 5$ . Which of the following is true about the spectral radius $\rho(AB)$ of their product?