Matrice diagonal

In le algebra linear, un matrice diagonal^[1] es un matrice quadratic, in que omne elementos extra le diagonal principal es ${\displaystyle 0}$.

Un exemplo de un matrice diagonal ${\displaystyle 2\times 2}$ es ${\displaystyle {\begin{pmatrix}{\frac {1}{2}}&0\\0&7\end{pmatrix}}}$.

Un exemplo de un matrice diagonal ${\displaystyle 3\times 3}$ es ${\displaystyle {\begin{pmatrix}-5&0&0\\0&-5&0\\0&0&9\end{pmatrix}}}$.

Si omne elementos del diagonal principal es equal, le matrice es un matrice scalar, per exemplo ${\displaystyle {\begin{pmatrix}\lambda &0&0\\0&\lambda &0\\0&0&\lambda \end{pmatrix}}}$.

Si omne elementos del diagonal principal de un matrice diagonal es ${\displaystyle 1}$, le matrice es un matrice identitate.

Referentias

1. Derivation (in ordine alphabetic): (ca) Matriu diagonal || (de) Diagonalmatrix || (en) Diagonal matrix || (es) Matriz diagonal || (fr) Matrice diagonale || (it) Matrice diagonale || (pt) Matriz diagonal || (ro) Matrice diagonală || (ru) Диагональная матрица