Mathematical Methods in the Physical Sciences · Problem 36

COORDINATE TRANSFORMATIONS; TENSOR ANALYSIS — Mary Boas

Mathematics — Methods · similarity-transformation-symmetry

Problem

(a) If

C

is orthogonal and

M

is symmetric, show that

C^{-1}MC

is symmetric. (b) If

C

is orthogonal and

M

is antisymmetric, show that

C^{-1}MC

is antisymmetric.