Let $A$ be a $3 \times 3$ matrix. If $\lambda_1, \lambda_2, \lambda_3$ are the eigenvalues of $A$, then the eigenvalues of the matrix $(I + aA)^{-1}(I + bA)$, where $a, b$ are scalars such that $a \lambda_i \neq -1$ and $b \lambda_i \neq -1$ for $i = 1, 2, 3$, are: