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I have a bit of a strange problem. I had to prove that the space of symmetric matrices is a vector space. That's easy enough, I considered all nxn matrices vector spaces and showed that symmetric matrices are a subspace. (through proving sums and scalars)

However, then I was asked to prove that the space of hermitian matrices is a vector space over R. I fail to see the difference between the two questions, as I thought hermitian matrices over R did not have any complex entries and therefore were just regular symmetric matrices.

Can anyone enlighten me as to what the difference between these two questions are?