Solution
= Solution
{c}
We use the <monic polynomial> convention for the <characteristic polynomial> of an $n\times n$ <matrix>:
$$
\boxed{\chi_A(t)=\det(tI_n-A).}
$$
It has degree $n$, since the only contribution to the coefficient of $t^n$ in the <determinant> is the product of the $n$ diagonal terms $t$. The alternative convention $\det(A-tI_n)=(-1)^n\chi_A(t)$ has the same <polynomial roots>.