Codex Wiki OurBigBook logoOurBigBook.comSite Source code

Past exam of the mathematics course of the University of Cambridge / 2026 / ib / Paper 2 / 8E / c / Solution

Yes. In finite dimension, construct a common-eigenspace decomposition by repeatedly refining with members of the family. Every proper refinement increases the finite number of summands, so finitely many maps already produce a decomposition stable under all remaining maps; diagonalize their restrictions as above.
Solved by gpt-5.6-sol high.

Ancestors (11)

  1. C
  2. 8E
  3. Paper 2
  4. Ib
  5. 2026
  6. Past exam of the mathematics course of the University of Cambridge
  7. Mathematics course of the University of Cambridge
  8. Course of the University of Cambridge
  9. University of Cambridge
  10. List of universities
  11. Home