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A-Level MathematicsYear 2020Q2

7 Turn over Question 2 continued ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (Total for Question 2 is 9 marks) 8 3. M = 1 2 2 4 1 1 2 3 k − −         where k is a constant. (a) Show that, in terms of k, a characteristic equation for M is given by λ3 – (2k + 13)λ + 5(k + 6) = 0 (3) Given that det M = 5 (b) (i) find the value of k (ii) use the Cayley‑Hamilton theorem to find the inverse of M. (7) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9FM0_4A_que_20201024.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)