A =

  2  1  0
  -1  2  -1
  -3  4  -4

AtA =

  14  -12  13
  -12  21  -18
  13  -18  17

eigv =

    0.34596
    5.02064
   46.63339

normA =  6.8289
For comparison: norm(A,2)=6.82886