Symmetric operator

Let $H$ be a finite-dimensional Hilbert space (it can be formulated for infinite dimensional, also, but I don't have time to write). An operator $A$ is symmetric if

Symmetric operators have a symmetric matrix when they are expressed in an orthonormal basis with respect to the inner product $\langle-,-\rangle$.

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Author of the notes: Antonio J. Pan-Collantes

antonio.pan@uca.es