Mathematical Methods in the Physical Sciences · Problem 23

COORDINATE TRANSFORMATIONS; TENSOR ANALYSIS — Mary Boas

Mathematics — Methods · eigenvalues-eigenvectors

Problem

Find the eigenvalues and eigenvectors of the matrix

\begin{pmatrix} 13 & 4 & -2 \\ 4 & 13 & -2 \\ -2 & -2 & 10 \end{pmatrix}