docs: def eigenvalue_sensitivity(T, k):
      r"""Sensitivity matrix of a specified eigenvalue.
  
      Parameters
      ----------
      T : (M, M) ndarray
          Transition matrix
      k : int
          Compute sensitivity matrix for k-th eigenvalue
  
      Returns
      -------
      S : (M, M) ndarray
          Sensitivity matrix for k-th eigenvalue.
  
      """
      T = _types.ensure_ndarray_or_sparse(T, ndim=2, uniform=True, kind='numeric')
      if _issparse(T):
          _showSparseConversionWarning()
          eigenvalue_sensitivity(T.todense(), k)
      else:
          return dense.sensitivity.eigenvalue_sensitivity(T, k)