characteristic polynomial

English

Noun

characteristic polynomial (plural characteristic polynomials)

(linear algebra) The determinant, of a matrix minus an indeterminant times the identity matrix
The characteristic polynomial of $\left({\begin{array}{cc}1&4\\3&-5\end{array}}\right)$ is $\mathbf {Det} \left({\begin{array}{cc}1-x&4\\3&-5-x\end{array}}\right)$ .

Usage notes

Equally many authors instead subtract the matrix from the indeterminant times the identity matrix. But the result only differs by multiplication by -1, which isn't important where characteristic polynomials are studied.

Translations

linear algebra

Estonian: karakteristlik polünoom
French: polynôme caractéristique m
German: charakteristiches Polynom n
Hungarian: karakterisztikus polinom

Portuguese: polinómio característico m, (Brazil) polinômio característico m
Romanian: polinom caracteristic n
Spanish: polinomio característico m
Swedish: karakteristiskt polynom (sv) n

characteristic polynomial

English

Noun

Usage notes

Translations

See also