I Relationship Between Hermitian and Symmetric Matrices

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1. Oct 27, 2016

Penemonie

Are All symmetric matrices with real number entires Hermitian? What about the other way around-are all Hermitian matrices symmetric?

2. Oct 27, 2016

Staff: Mentor

What do you get when you take the conjugate transpose of a symmetric matrix with all real entries? Have you tried it?

Are you this time including Hermitian matrices with complex (nonzero imaginary part) entries?

3. Oct 27, 2016

Staff: Mentor

What is a Hermitian matrix, and what does this mean, if all entries were real?

4. Oct 27, 2016

Staff: Mentor

A Hermitian matrix is a matrix that is equal to its conjugate transpose, i.e., $H = H^{\dagger}$.