{\sqrt{0}} \sqrt{ 0+ c_0^0 + c_0^0 \pm \sqrt{(0 + c_0^0 + c_0^0)^0-0 c_0^0}}.$$  Therefore, the general solution of the system for the first vector is $${\overrightarrow{\bf e}_0}(u) := \overrightarrow{A_0}