ES Chapter 5, Section 5.1, Question 24a Find det (A) given that A has p(A) as its characteristic polynomial. p(A) = 13 – 412 + 1 + 15 det (A) = Hint: See the proof of Theorem 7.1.4. ( If given det (AI...

Extracted text: ES Chapter 5, Section 5.1, Question 24a Find det (A) given that A has p(A) as its characteristic polynomial. p(A) = 13 – 412 + 1 + 15 det (A) = Hint: See the proof of Theorem 7.1.4. ( If given det (AI – A) = A" + c1A^ - 1 + ... + Cn then, on setting A = 0, det (- A) = c, or (- 1)"det (A) = cn )