Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

2.I.6G

Linear Mathematics | Part IB, 2002

Let AAA be a complex 4×44 \times 44×4 matrix such that A3=A2A^{3}=A^{2}A3=A2. What are the possible minimal polynomials of AAA ? If AAA is not diagonalisable and A2≠0A^{2} \neq 0A2=0, list all possible Jordan normal forms of AAA.

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