plumiMatrix arithmetic: Edexcel A‑Level Further Maths questions
Edexcel 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 6 questions on Matrix arithmetic, as a list
- June 2025, AS Core Pure, Q3 (6 marks): 1 1 a b M where a and b are real constants and a ≠ b (a) Determine M –1 in terms of a and b (3) Given that M + M –1 = I, where I is the 2 × 2 identity
- June 2023, Core Pure 1, Q8 (13 marks): A colony of small mammals is being studied. In the study, the mammals are divided into 3 categories N (newborns) 0 to less than 1 month old J (juveniles) 1 to 3
- June 2023, Core Pure 2, Q3 (10 marks): M 2 5 6 k where k is a constant. Given that M 2 + 11M = aI where a is a constant and I is the 2 × 2 identity matrix, (a) (i) determine the value of a (ii
- June 2023, AS Core Pure, Q1 (4 marks): x y z z y z y k 9 3 I where x, y, z and k are constants. Determine the value of x, the value of y and the value of z. (4)
- June 2022, AS Core Pure, Q1 (7 marks): A = 4 1 7 2 5 8 − − B = 2 3 2 1 6 5 − C = − − 5 2 1 4 3 8 6 11 2 Given that I is the 3 × 3 identity matrix, (a) (i) sh
- November 2021, Core Pure 1, Q4 (9 marks): (i) A is a 2 by 2 matrix and B is a 2 by 3 matrix. Giving a reason for your answer, explain whether it is possible to evaluate (a) AB (b) A + B (2) (ii) Given t
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