A 3×3 matrix $A$ has eigenvalues $\lambda_1 = 2$, $\lambda_2 = -1$, and $\lambda_3 = 3$. Which of the following statements is/are TRUE? (Select all that apply)

(a) $\det(A) = 2$ (b) $\det(A) = -6$ (c) $\text{trace}(A) = 4$ (d) $\det(A - I) = 0$