Examples:: [[symmetric matrix|symmetric matrices]] Nonexamples:: *[[Nonexamples]]* Constructions:: *[[Constructions|Used in the construction of...]]* Generalizations:: [[self-adjoint|self-adjoint operators]] Justifications and Intuition:: *[[Justifications and Intuition]]* Properties:: [[matrix of self-adjoint operator w.r.t. orthonormal bases is conjugate symmetric]] Sufficiencies:: *[[Sufficiencies]]* Equivalences:: *[[Equivalences]]* ---- Here $\ff$ denotes $\rr$ or $\cc$. > [!definition] Definition. ([[conjugate symmetric]]) > A matrix $M \in \ff^{n \times n}$ is called **hermitian** or **conjugate symmetric** if it equals its [[conjugate transpose]]. ---- #### ---- #### References > [!backlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM [[]] > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ``` > [!frontlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM outgoing([[]]) > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ```