$\Vert A\Vert =\sqrt{\mathrm{tr}(A{A}^H)}=\sqrt{{\displaystyle \sum _{i,j=1}^n{\left|A_{ij}\right|}^2}}$

Note 1 to entry: The described norm is the "Euclidean norm" or the "Hermitian norm" for the real and the complex case, respectively. Several other norms of a matrix can be defined. Any norm of a matrix has properties similar to the properties of the magnitude of a vector (see Note 1 to entry in IEV 102-03-23).