So I was given a reduced row echelon matrix that corresponds to this system:
$0x_1 + x_2 + 0x_3 = 7$
$0x_1 + 0x_2 + x_3 = 2$
That is, the first two elements of each row were 0.
The question was, determine the leading and free variables and find the solution set.
So, technically, $x_1$ is a free variable, but the system essentially is
$x_2 + 0x_3 = 7$
$0x_2 + x_3 = 2$
Then, can I still call $x_1$ a free variable? And, if so, the solution set will be ($x_1$, 7, 2), for all $x_1$ in R, or just (7, 2)?