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# numpy.eye

`numpy.``eye`(N, M=None, k=0, dtype=<type 'float'>)

  Return a 2-D array with ones on the diagonal and zeros elsewhere.

  Parameters : | N : int Number of rows in the output. M : int, optional Number of columns in the output. If None, defaults to N. k : int, optional Index of the diagonal: 0 (the default) refers to the main diagonal, a positive value refers to an upper diagonal, and a negative value to a lower diagonal. dtype : data-type, optional Data-type of the returned array.
  Returns : | I : ndarray of shape (N,M) An array where all elements are equal to zero, except for the k-th diagonal, whose values are equal to one.

  See also

  `identity`
    (almost) equivalent function
  `diag`
    diagonal 2-D array from a 1-D array specified by the user.

  Examples

      >>> np.eye(2, dtype=int)
      array([[1, 0],
             [0, 1]])
      >>> np.eye(3, k=1)
      array([[ 0.,  1.,  0.],
             [ 0.,  0.,  1.],
             [ 0.,  0.,  0.]])

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