plumiMatrix arithmetic: OCR MEI A‑Level Further Maths questions
OCR MEI A-Level Further Maths past-paper questions on 3.1 Matrix arithmetic, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 11 questions on Matrix arithmetic, as a list
- June 2025, AS Core Pure, Q1 (5 marks): The matrices A and B are given by J N J N 1 3 2 1 KK OO and B KK OO. A = = 0 1 0 1 L P L P (a) Use A and B to show that matrix multiplication is not, in general
- June 2025, AS Core Pure, Q3 (7 marks): The matrices M and N are given by J N J N a b b a - - KK OO and KK OO where a and b are positive constants. M = N = b a a b L P L P 2 = (a) Given that M N , det
- June 2024, AS Core Pure, Q2 (5 marks): J N J N J N 1 a 2 0 1 0 = - KK OO, B KK OO and C KK OO, where a is 2 The matrices A, B and C are given by A = - = 1 2 1 1 2 1 - a constant. L P L P L P ^ h ^ h
- June 2023, Core Pure, Q6 (9 marks): J N J N The matrices M and N are 0 1 OO and 2 0 KK KK OO respectively. 6 1 0 0 1 L P L P (a) In this question you must show detailed reasoning. Determine whethe
- June 2023, AS Core Pure, Q1 (3 marks): The transformation R of the plane is reflection in the line x = 0. (a) Write down the matrix M associated with R. [1] (b) Find M2. [1] (c) Interpret the result
- June 2023, AS Core Pure, Q6 (8 marks): J N 2 1 KK OO. 6 The matrix M is 1 0 - L P (a) Calculate M2, M3 and M4. [2] (b) Hence make a conjecture about the matrix Mn. [1] (c) Prove your conjecture. [5]
- November 2020, Core Pure, Q2 (6 marks): J N 0 1 a K O KK OO and 2 (a) The matrices M N 1 c OO are such that MN = I. = = - KK 1 b 0 L P 1 1 - L P Find a, b and c. [5] (b) State with a reason whether or
- November 2020, AS Core Pure, Q6 (8 marks): J N J N 2 1 m n KK OO and 1 KK OO respectively, where m and n are constants. 6 The matrices M and N are 2 m n L P L P (a) Investigate whether M and N are commut
- June 2019, Core Pure, Q3 (7 marks): J N J N 3 1 k 1 KK OO and B KK OO, where k is a constant. 3 Matrices A and B are defined by A = = 2 1 2 0 L P L P 1 1 1 (a) Verify the result ( AB ) - B - A - i
- June 2019, AS Core Pure, Q3 (6 marks): In this question you must show detailed reasoning. J N 2 1 1 = - KK OO. 1 A and B are matrices such that B - A - 1 1 L P (a) Find AB. [3] J N 1 1 KK OO, find B.
- June 2018, AS Core Pure, Q1 (4 marks): The matrices A, B and C are defined as follows: J N 1 K O c 2 0 3 m ^ h. A B C 2 , , 1 3 = KK OO = = 1 1 3 - 3 L P [4] Calculate all possible products formed fr
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