a. After row reduction to RREF,
$\begin{bmatrix} A & b \end{bmatrix} \sim \begin{bmatrix} 1 & 0 & 1 & 2 \ 0 & 1 & -2 & -1 \ 0 & 0 & 0 & 0 \end{bmatrix}$
Which statement is true about the original linear system?
The original linear system is inconsistent.
The original linear system is consistent with one solution.
The original linear system is consistent with an infinite number of solutions.
b. After row reduction to RREF,
$\begin{bmatrix} A & b \end{bmatrix} \sim \begin{bmatrix} 1 & 0 & 0 & -7 \ 0 & 1 & 0 & 3 \ 0 & 0 & 1 & 9 \end{bmatrix}$
Which statement is true about the original linear system?
The original linear system is consistent with an infinite number of solutions.
The original linear system is inconsistent.
The original linear system is consistent with one solution.
