plumiMatrix arithmetic: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on C.1 Matrix arithmetic, 2019–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
All papers
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 11 questions on Matrix arithmetic, as a list
- June 2025, Paper 2, Q7 (3 marks): The matrix A is defined by − = − 4 2 6 3 A Find a non-zero 2 × 2 matrix B such that AB = 0 [3 marks]
- June 2024, Paper 2, Q7 (4 marks): The matrices A and B are defined as follows. A = p – 2 p – 1 0 1 B = 1 2p – 1 0 4 – p Find the values of p such that A and B are commutative under matrix multip
- June 2024, AS Paper 1, Q11 (3 marks): The matrices A and B are given by A = 3i –2 a –i and B = 4 5 –2i –1 where a is a real number. Calculate the product AB in terms of a Give your answer in its sim
- June 2023, Paper 2, Q8 (6 marks): A is a non-singular 2 ≤ 2 matrix and AT is the transpose of A 8 (a) Using the result (AB)T = BTAT show that (A−1)T = (AT)−1 [3 marks] 8 (b) It is given that A =
- June 2023, AS Paper 1, Q3 (1 mark): The matrices A and B are given by A = [ 3 1] 0 5 B = [ 0 4] 7 1 Calculate AB Circle your answer. [1 mark] [ 3 5] 7 6 [ 0 20] 21 12 [ 0 4] 0 5 [ 7 13] 35 5
- June 2022, AS Paper 1, Q6 (5 marks): The matrix A is given by A = 5 2 −3 4 6 (a) Find det A [1 mark] 6 (b) Find A−1 [1 mark] 6 (c) Given that AB = 9 6 5 12 and M = 2A + B find the matrix M [3 marks
- November 2021, AS Paper 1, Q10 (8 marks): Matrix A is given by A = 3 i − 1 i 2 10 (a) Show that det A = a + i where a is an integer to be determined. [2 marks] 10 (b) Matrix B is given by B = 14 − 2i b
- November 2020, Paper 2, Q4 (3 marks): The matrices A and B are defined as follows: A = x + 1 2 x + 2 ×3 " # B = x × 4 x × 2 0 ×2 " # Show that there is a value of x for which AB = kI , where I is th
- November 2020, Paper 2, Q9 (7 marks): The matrix C = a ×b b a , where a and b are positive real numbers, and C2 = p3 2 × 1 2 1 2 p3 2 2 6664 3 7775 Use C to show that cos p 12 can be written in the
- November 2020, AS Paper 1, Q4 (5 marks): The matrices A and B are such that A = 2 a 3 0 −2 1 and B = 1 −3 −2 4a 0 5 2 64 3 75 4 (a) Find the product AB in terms of a. [2 marks] 4 (b) Find the determina
- June 2019, AS Paper 1, Q1 (1 mark): Which of the following matrices is an identity matrix? Circle your answer. [1 mark] 1 1 1 1 1 0 0 1 0 1 1 0 0 0 0 0
Questions, mark schemes and examiner’s reports are © AQA, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? AQA A-Level Further Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.