Use MATLAB to find a basis for the solution space of the following homogeneous system of linear equations.
\begin{cases}
3x_1 + 9x_2 + 30x_3 + 21x_4 = 0\\x_1 - 3x_2 - 8x_3 + 5x_4 = 0\\2x_1 + 12x_2 + 38x_3 + 16x_4 = 0
\end{cases}
\{(1, 0, 1, 6), (0, 3, 9, 0), (1, 0, 0, 1)\}
\{((0,0, 1, 6)^T, (1, 3, 9, 1)^T)\}
\{(1, 0, 0, 0), (0, 3, 0, 0), (0, 0, 10, 7)\}
\{(-1, -3, 1, 0)^T, (-18, -1, 0, 3)^T\}
\{(1, 0, 0, 0), (0, 3, 0, 0), (0, 0, 10, 0), (0, 0, 0, 7)\}