Definition of characteristic polynomial of a matrix

Created almost 9 years ago, updated about 8 hours ago

Use the monic convention $p_A(t)=\det(tI-A)$ for an $n\times n$ matrix. It is a degree-$n$ polynomial whose roots are eigenvalues. Some texts instead use $\det(A-tI)=(-1)^np_A(t)$; its roots are unchanged. For $A=\operatorname{diag}(2,3)$, $p_A(t)=(t-2)(t-3)$.

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