Every matrix Z can be split into a Hermitian and a skew-Hermitian part, Z = A+K, just as

Chapter 5, Problem 5.5.22

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Every matrix Z can be split into a Hermitian and a skew-Hermitian part, Z = A+K, just as a complex number z is split into a+ib, The real part of z is half of z+z, and the real part of Z is half of Z +Z H. Find a similar formula for the imaginary part K, and split these matrices into A+K: Z = " 3+i 4+2i 0 5 # and Z = " i i i i#

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