wektor bazy

An operator can be written in matrix form to map one basis vector to another.

You are just beginning to understand what basis vectors are.

Frequently, its not merely a single product, but a sum over such products involving all the basis vectors in the space.

A crystal system is described by three basis vectors.

A vector can be expressed in terms of basis vectors.

This then creates a set of orthogonal standard basis vectors.

However, in a general curvilinear system, there may well not be any natural global basis vectors.

For basis vector in the context of crystals, see crystal structure.

The general case is to give a matrix with the components of the new basis vectors in columns.

First, how can one estimate how many basis vectors are required?