CAIE A-Level Further Math A2 2.2.3 Eigen Terminology Questions

Practise using eigenvalue language accurately, from Ae=λe to characteristic equations and simple powers of square matrices.

Syllabus
2028–2030
Course
Further Mathematics 9231
Level
A2

Exam points

  • Use Ae = λe repeatedly to prove that e is an eigenvector of A³ with eigenvalue λ³
  • Multiply a matrix by a given vector, show the result is λe and state the eigenvalue

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