Question

show that every square matrix over C can be expressed in a unique way as P+ iQ, where P and Q are hermition

Answer 1

Answer:

Let, A be a given square matrix. We can write A as-. A=12(A+Aθ)+12(A−Aθ)=say,P+QwhereP=12(A+Aθ )andQ=12(A−Aθ)