Basic Matrix NotationEdit
Consider the complex matrix .
Transpose of a Matrix
The transpose of , denoted as or is:
Adjoint of a Matrix
The adjoint or hermitian conjugate of , denoted as is:
Where is the complex conjugate of matrix element .
Notice that for a real matrix , .
Important Properties of MatriciesEdit
Hermitian, Self-Adjoint, and Symmetric Matricies
A square matrix is called Hermitian or self-adjoint if .
If is Hermitian then it is called symmetric.
A square matrix is called unitary if or .