ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Binary cartesian set product
Binary relation
Map
Countable map
Array
Matrix
Toeplitz matrix
Diagonal matrix
Definition D5858
Diagonal complex matrix
Formulation 1
A D6159: Complex square matrix $A \in \mathbb{C}^{N \times N}$ is a diagonal complex matrix if and only if \begin{equation} \forall \, n, m \in \{ 1, \ldots, N \} \left( n \neq m \quad \implies \quad A_{n, m} = 0 \right) \end{equation}
Results
R5619
R5621
R5622