## Complex Linear Algebra | Extreme Optimization Numerical Libraries for .NET Professional |

All the vector and matrix classes support real and complex element types. This section discusses some classes specific to complex linear algebra.

The complex dot product uses the conjugate of the first argument, so the dot product of a complex vector with itself is always a real number.

The ComposedComplexVector

Likewise, the ComposedComplexMatrix

A Hermitian matrix is a square, complex matrix that is equal to its conjugate transpose. Hermitian matrices are similar to real symmetric matrices. They are discussed in more detail in the section on Hermitian Matrices.

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