Cambridge IGCSE Question Simulator

AS & A Level Further Mathematics (9231)

Matrices (eigenvalues and eigenvectors) Banker

11 questions · about 6% of the marks we indexed · examined in 9 of 9 sessions.

Questions by year

2026

  • 2026 May/June · Paper 22 · Q8 (a, b, c)14 marksCayley-Hamilton (characteristic equation) · Diagonalisation · Systems of equations & geometric meaning

2025

  • 2025 Oct/Nov · Paper 22 · Q8 (a, b, c, d)15 marksCayley-Hamilton (characteristic equation) · Systems of equations & geometric meaning
  • 2025 May/June · Paper 22 · Q8 (a, b, c, d)13 marksCayley-Hamilton (characteristic equation) · Diagonalisation · Eigenvalues & eigenvectors

2024

  • 2024 Oct/Nov · Paper 22 · Q8 (a, b, c)14 marksCayley-Hamilton (characteristic equation) · Diagonalisation · Eigenvalues & eigenvectors
  • 2024 May/June · Paper 22 · Q8 (a, b, c, d)16 marksCayley-Hamilton (characteristic equation) · Diagonalisation · Systems of equations & geometric meaning

2023

  • 2023 Oct/Nov · Paper 22 · Q6 (a, b, c)10 marksCayley-Hamilton (characteristic equation) · Diagonalisation · Eigenvalues & eigenvectors
  • 2023 May/June · Paper 22 · Q1 (a, b)5 marksSystems of equations & geometric meaning
  • 2023 May/June · Paper 22 · Q5 (a, b)10 marksDiagonalisation · Eigenvalues & eigenvectors

2022

  • 2022 Oct/Nov · Paper 22 · Q1 (a, b)5 marksSystems of equations & geometric meaning
  • 2022 Oct/Nov · Paper 22 · Q7 (a, b, c, d, e)12 marksCayley-Hamilton (characteristic equation) · Diagonalisation · Eigenvalues & eigenvectors
  • 2022 May/June · Paper 22 · Q8 (a, b, c)13 marksCayley-Hamilton (characteristic equation) · Diagonalisation · Systems of equations & geometric meaning

Find the full paper on the official Cambridge past-papers page or ask your school. “Paper 42” means Paper 4, variant 2.

Similar questions

Questions that test the same subtopic in different years. Practise them together to master one skill.

Diagonalisation Banker8 questions · 8/9 sessions
Cayley-Hamilton (characteristic equation) Banker8 questions · 8/9 sessions
Systems of equations & geometric meaning 6 questions · 6/9 sessions
Eigenvalues & eigenvectors 5 questions · 5/9 sessions

Subtopics

SubtopicMarks indexedSessions
Diagonalisation Banker468/9
Cayley-Hamilton (characteristic equation) Banker328/9
Systems of equations & geometric meaning 306/9
Eigenvalues & eigenvectors 195/9

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