Mathematical Methods in the Physical Sciences · Problem 25

COORDINATE TRANSFORMATIONS; TENSOR ANALYSIS — Mary Boas

Mathematics — Methods · eigenvalues-eigenvectors

Problem

Find the eigenvalues and eigenvectors of the matrix

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