Obstaja baza prostora , ki vsebuje le polinome stopnje točno .

There is a basis of the vector space which contains only polynomials of degree exactly .

Dimenzija linearne ogrinjače vektorjev je enaka .

The dimension of the linear span of vectors is equal to .

V jedru linearne preslikave je vsaj en neničeln polinom.

The kernel of a linear map contains at least one non-zero polynomial.

Množica vseh matrik, katerih elementi so nenegativna realna števila, je vektorski podprostor v .

The set of all with non-negative real entries is a vector subspace of .

Če je lastna vrednost linearne preslikave , potem je .

If is an eigenvalue of a linear map , then .

Recimo, da imata matriki in obe lastno vrednost , z lastnim vektorjem , pa z lastnim vektorjem . Potem je lastni vektor matrike .

Suppose that matrices and both have eigenvalue , with eigenvector , with eigenvector . Then is an eigenvector of .