Hermitian conjugate
, so .
Definition 3.17 (Hermitian Conjugate)
Consider a matrix of size with complex entries. Then, the Hermitian conjugate of is the matrix of size is the matrix
with entries
where denotes the complex conjugate of .
Properties of the Hermitian conjugate
Proposition 3.18 (Properties of the Hermitian Conjugate)
Related
Stated in
- Definition 3.17 (Hermitian Conjugate)§3.4.4 Transpose and Hermitian Conjugate
- Proposition 3.18 (Properties of the Hermitian Conjugate)§3.4.4 Transpose and Hermitian Conjugate