sanarchy5373 sanarchy5373
  • 10-04-2024
  • Mathematics
contestada

Prove (without using Theorem 2.5) that if A and B are symmetric matrices, A+B is idempotent and AB = BA= 0, then both A and B are idempotent. (Hint: Use Theorem 2.4. Then derive two relations between the diagonalisations of A and B.)

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