Consider the system of linear equations
\[
\begin{array}{c}
x+2 y+z=5 \\
2 x+a y+4 z=12 \\
2 x+4 y+6 z=b
\end{array}
\]
The values of $a$ and $b$ such that there exists a non-trivial null space and the system admits infinite solutions are
- $a=8, b=14$
- $a=4, b=12$
- $a=8, b=12$
- $a=4, b=14$