Mathematical Methods in the Physical Sciences · Problem 22

COORDINATE TRANSFORMATIONS; TENSOR ANALYSIS — Mary Boas

Mathematics — Methods · eigenvalues-eigenvectors

Problem

Find the eigenvalues and eigenvectors of the matrix

\begin{pmatrix} -3 & 2 & 2 \\ 2 & 1 & 3 \\ 2 & 3 & 1 \end{pmatrix}