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Spectral decomposition

Hello all,

    I have the square symetric matrix A:
2 1 1
1 2 1
1 1 2
  My first question is what is the easiest way to enter this matriz in R?
Second, matrix A has an eigenvalue with multiplicity 2, in this case, how
could I find the two related ortogonal eigenvectors given below by R,
without the help of R, I mean, I want to know how R calculate this
eigenvectors related to the same eigenvalue.
$values
[1] 4 1 1

$vectors
          [,1]       [,2]        [,3]
[1,] 0.5773503  0.8161298  0.02447130
[2,] 0.5773503 -0.3868721 -0.71902477
[3,] 0.5773503 -0.4292577  0.69455348

Thanks very much,

Marcos


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