Question: Let A be an n ( n matrix. (a) Show that ((t) = det(t In - A) is a polynomial in t of degree n.

Let A be an n ( n matrix.
(a) Show that ((t) = det(t In - A) is a polynomial in t of degree n.
(b) What is the coefficient of tn in ( (t)?
(c) What is the constant term in ((t)?

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