The following question is based on information from the Delmar's textbook and Lab-Volt Lab manual.

Connecting an alternator to the electrical grid is complex as many conditions must be met in order to successfully "tie into the grid" with no harmful consequences.

Choose the three requirements from the list provided below.

Obstaja baza prostora , ki vsebuje le polinome stopnje točno .

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

V jedru linearne preslikave je vsaj en neničeln polinom.

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

Dimenzija linearne ogrinjače vektorjev je enaka .

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

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 .

Is it true that a synchronous generator, the amount of poles found in the rotor must equal the same amount of poles found in the stator?