Neutraal Element

Tekst üüb Öömrang

At neutraal element as en betiaknang uun a algebra. Hat sait, dat detdiar element di wäärs faan en ööder element ei feranert.

• Bi't tuuptäälen faan reel taalen as ${\displaystyle 0}$  (nul) det neutraal element:

${\displaystyle 0+x=x+0=x}$ 

• Bi't moolnemen faan reel taalen as ${\displaystyle 1}$  (ian) det neutraal element:

${\displaystyle 1\cdot x=x\cdot 1=x}$ 

• Bi't tuuptäälen faan ${\displaystyle n\times n}$ -matrizen as det nolmatrix ${\displaystyle 0_{n,n}}$  det neutraal element:

${\displaystyle 0_{1,1}={\begin{pmatrix}0\end{pmatrix}},0_{2,2}={\begin{pmatrix}0&0\\0&0\end{pmatrix}},...}$ 

• Bi't moolnemen faan ${\displaystyle n\times n}$ -matrizen as det ianhaidsmatrix ${\displaystyle I_{n}}$  det neutraal element:

${\displaystyle I_{1}={\begin{pmatrix}1\end{pmatrix}},\ I_{2}={\begin{pmatrix}1&0\\0&1\end{pmatrix}},\ I_{3}={\begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}},\ ...}$ 

• Bi't tuuptäälen faan vektoren as di nolvektor ${\displaystyle {\vec {0}}}$  det neutraal element.