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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 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)