Which of the following systems have a strictly diagonally dominant coefficient matrix?
(a)
$$
5 x-y=1 \text {, }
$$
$-x+3 y=-1$
$-x+\frac{1}{2} y+\frac{1}{3} z=1$,
(e)
$$
\begin{aligned}
& \frac{1}{3} x+2 y+\frac{3}{4} z=-3 \\
& \frac{2}{3} x+\frac{1}{4} y-\frac{3}{2} z=2
\end{aligned}
$$
$$
\frac{1}{2} x+\frac{1}{3} y=1 \text {, }
$$
$$
\frac{1}{5} x+\frac{1}{4} y=6 \text {; }
$$
(c)
$$
-5 x+y=3 \text {, }
$$
$-3 x+2 y=-2$;
$$
-2 x+y+z=1 \text {, }
$$
(d) $-x+2 y-z=-2$,
$$
x-y+3 z=1 \text {; }
$$
$$
-4 x+2 y+z=2,
$$
(f)
$$
x-2 y+z=1 \text {, }
$$
(g)
$$
\begin{aligned}
& -x+3 y+z=-1 . \\
& x+4 y-6 z=3 .
\end{aligned}
$$