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Section 11.2 Terminology and notation
complex linear equation
a linear equation where the coefficients are complex numbers and the variables are allowed to take on complex values
complex matrix
a matrix whose entries are complex numbers
complex conjugate of a matrix \(A\)
the matrix
\(\cconj{A}\) obtained by replacing each entry by its complex conjugate
(complex) adjoint of a matrix \(A\)
the matrix
\(\adjoint{A}\) obtained by taking the transpose of the conjugate of
\(A\text{,}\) i.e.
\(\adjoint{A} = \utrans{\cconj{A}}\)
self-adjoint matrix
a complex matrix that is equal to its own complex adjoint; also referred to as a
Hermitian matrix
