Solve the Homogeneous System $$\left( \begin{array} { r } 4 x + y + z = 0 \\x - y + 3 z = 0 \\5 x - 5 y - 3 z = 0\end{array} \right)$$

Short Answer

Solve the homogeneous system. $$\left( \begin{array} { r } 4 x + y + z = 0 \\x - y + 3 z = 0 \\5 x - 5 y - 3 z = 0\end{array} \right)$$ If the equations of the system are dependent, or if a system is inconsistent, so indicate. In those cases enter dependent or inconsistent .