Neutraal element

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

Bispalen

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

$0+x=x+0=x$

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

$1\cdot x=x\cdot 1=x$

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

$0_{1,1}=\left(\begin{array}{c}0\end{array}\right),0_{2,2}=\left(\begin{array}{cc}0& 0\\ 0& 0\end{array}\right),...$

• Bi't moolnemen faan $n\times n$-matrizen as det ianhaidsmatrix $I_n$ det neutraal element:

$I_1=\left(\begin{array}{c}1\end{array}\right),I_2=\left(\begin{array}{cc}1& 0\\ 0& 1\end{array}\right),I_3=\left(\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right),...$

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