Find \(\mathbf{a} + \mathbf{b}, 4\mathbf{a} + 2\mathbf{b}, |\mathbf{a}|,\) and \(|\mathbf{a} - \mathbf{b}|\). \(\mathbf{a} = \langle -3, 4 \rangle, \mathbf{b} = \langle 9, -1 \rangle\)