plumiMatrix algebra: Edexcel International A Level Further Maths questions
Every Edexcel International A Level Further Maths exam question on FP1.5 Matrix algebra, 2019–2025, with its mark scheme and examiner’s report.
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All 10 questions on Matrix algebra, as a list
- June 2025, Further Pure 1 (FP1), Q1 (6 marks): M 1 3 5 a where a is a constant, a ≠ – 5 3 (a) Determine M –1 in terms of a. Given that M –1 = 2M + 8I where I is the 2 × 2 identity matrix, (b) determin
- January 2025, Further Pure 1 (FP1), Q1 (6 marks): P p p p 1 1 3 where p is a constant (a) Determine det P in simplest form in terms of p. (b) Hence show that P is non‑singular for all real values of p.
- June 2024, Further Pure 1 (FP1), Q1 (6 marks): (i) The matrix A is defined by A 3 4 1 2 6 k k where k is a constant. (a) Determine the value of k for which A is singular. Given that A is non‑singular,
- January 2024, Further Pure 1 (FP1), Q1 (5 marks): M 2 1 7 4 k k k k k where is a constant (a) Show that M is non-singular for all real values of k. (b) Determine M –1 in terms of k.
- June 2023, Further Pure 1 (FP1), Q4 (8 marks): (i) A = 3 3 8 k where k is a constant The transformation represented by A transforms triangle T to triangle T ′ The area of triangle T ′ is three times the
- January 2023, Further Pure 1 (FP1), Q1 (5 marks): Given that A B 2 1 3 2 3 0 1 0 3 2 2 and k k where k is a non-zero constant, (a) determine the matrix AB (b) determine the value of k for w
- June 2022, Further Pure 1 (FP1), Q3 (4 marks): M = k k 3 5 where k is a non‑zero constant (a) Determine M–1, giving your answer in simplest form in terms of k. Hence, given that N–1 = k k 4 1 −
- January 2022, Further Pure 1 (FP1), Q1 (5 marks): M = 3 7 4 1 2 x x x + − Find the range of values of x for which the determinant of the matrix M is positive.
- October 2021, Further Pure 1 (FP1), Q1 (5 marks): A = 3 2 2 a − − where a is a non‑zero constant and a ≠ 3 (a) Determine A –1 giving your answer in terms of a. Given that A + A –1 = I where I is the 2
- January 2021, Further Pure 1 (FP1), Q3 (4 marks): The matrix M is defined by M = + − − k k 5 2 3 (a) Determine the values of k for which M is singular. Given that M is non-singular, (b) find M–1 in te
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