(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need to prove that the hermitian matrix is a vector space over R

2. Relevant equations

3. The attempt at a solution

I know the following:

If a hermitian matrix has a_{ij}= conjugate(a_{ji}) then its easy to prove that the sum of two hermitian matrices A,B give a hermitian matrix.

Multiplying a Hermitian matrix by a real number k will also give a hermitian matrix.

The zero vector is an element of the set of all Hermitian matrices.

So I can prove that hermitian matrices are a vector space, but what I`m stuck on is how a hermitian matrix is an element of real matrices??

How are complex numbers elements of R?

Thank you!

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# Homework Help: Hermitian matrix vector space over R proof!

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