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A-Level MathematicsYear 2021Q3

Turn over 7 Question 3 continued ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (Total for Question 3 is 9 marks) 8 4. M = 2 1 4 2 2 4 1 2 k − −         N = k − − − − −         7 6 10 2 20 24 3 2 1 where k is a constant. (a) Determine, in simplest form in terms of k, the matrix M N. (2) (b) Given that k = 5 (i) write down M N (ii) hence write down M–1 (2) (c) Solve the simultaneous equations 2x + y + 4z = 2 5x + 2y – 2z = 3 4x + y – 2z = –1 (2) (d) Interpret the answer to part (c) geometrically. (1) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:8FM0_01_que_20211005.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)