Matrix Operations for Engineers and Scientists by Alan Jeffrey

Author:Alan Jeffrey
Language: eng
Format: epub
Publisher: Springer Netherlands, Dordrecht

In certain applications, n × n matrices with complex elements occur, the most important of which are Hermitian matrices, skew-Hermitian matrices, and unitary matrices, all for which exhibit certain types of symmetry.

Hermitian Matrices

These are complex matrices that generalize the more familiar symmetric matrices. An Hermitian matrix A is a matrix with the property that , where the overbar indicates that each element of A is replaced by its complex conjugate and, as usual, the superscript T indicates the matrix transpose operation. A simple example of an Hermitian is

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