macierz obrotu

This result can be obtained from a rotation matrix.

In that case the rotation matrix is time dependent.

That is, the elements of a rotation matrix are not all completely independent.

Using the same idea as before, we have a rotation matrix of:

Third, it must also need to be shown that the above expression for is a rotation matrix.

In two dimensions every rotation matrix has the following form:

It is also possible to use the trace of the rotation matrix.

In other words, they hold for any rotation matrix .

The interpretation of a rotation matrix can be subject to many ambiguities.

Analysis is often easier in terms of these generators, rather than the full rotation matrix.