$\det(A-\lambda I)$ or $\det(\lambda I - A)$?

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I have noticed that in many book, given a square matrix of order $n\times n$ called $A$, the characteristic polynomial is given by $\chi_A(\lambda)=\det(A-\lambda I)$. Some university lecturers instead propose to use $\chi_A(\lambda)=\det(\lambda I-A)$ as the characteristic polynomial. What is the advantage of considering $\chi_A(\lambda)=\det(\lambda I-A)$ instead of $\det(A-\lambda I)$?