Question: Three unit masses (m = 1.0 kg) are found at positions (1,1,0), (0,1,1), and (1,0,1), respectively. Find the orthonormal eigenvalues and eigenvectors of the matrix

Three unit masses (m = 1.0 kg) are found at positions (1,1,0), (0,1,1), and (1,0,1), respectively. Find the orthonormal eigenvalues and eigenvectors of the matrix of inertia and explain its degeneracy in terms of the symmetry of the system

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