Mathematical Methods in the Physical Sciences · Problem 38

COORDINATE TRANSFORMATIONS; TENSOR ANALYSIS — Mary Boas

Mathematics — Methods · trace-eigenvalues

Problem

Show that

\mathrm{Tr}\, M

is equal to the sum of the eigenvalues of

M

. Hint: Show that

\mathrm{Tr}\, M = \mathrm{Tr}\, D

. (See Problem 1.4.)