Mathematical Methods in the Physical Sciences · Problem 4

COORDINATE TRANSFORMATIONS; TENSOR ANALYSIS — Mary Boas

Mathematics — Methods · inverse-rotation-matrix

Problem

Find the inverse of the rotation matrix in (3.1) (see Chapter 3, Section 6); you should get

C

in (4.14). Replace

\theta

-\theta

in (3.1) to see that the matrix

C

corresponds to a rotation through

-\theta