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(Closed) Hermitian and skew-Hermitian Matrix
  1. Prove: Every square matrix A can be written as A= A1 + A2 where A1 is Hermitian and A2 is skew- Hermitian

  2. Prove: Every square matrix A can be written as A= A1 + iA2 where A1 and A2 are Hermitian and i^2 = -1

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