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Mathematics
Linear and Abstract Algebra
Difference symmetric matrices vector space and hermitian over R
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[QUOTE="fresh_42, post: 6216928, member: 572553"] Hermitian matrices ##\overline{A}=A^\tau ## do have complex entries, just not at the diagonal, and the rest are complex conjugates between upper and lower triangular submatrices. The clue here is, that they do not build a complex vector space, because ##\overline{z \cdot w} \neq z \cdot \overline{w}##, but a real vector space, because ##\overline{z}=z ## for ##z\in \mathbb{R}##. [/QUOTE]
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Linear and Abstract Algebra
Difference symmetric matrices vector space and hermitian over R
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