▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Binary cartesian set product
▾ Binary relation
▾ Map
▾ Countable map
▾ Array
▾ Matrix
▾ Real collection matrix
▾ Complex matrix
▾ Triangular complex matrix
Lower triangular complex matrix
Formulation 0
A D999: Complex matrix $A \in \mathbb{C}^{N \times N}$ is a lower triangular complex matrix if and only if \begin{equation} \forall \, n, m \in 1, \ldots, N \left( n > m \quad \implies \quad C_{n, m} = 0 \right) \end{equation}