- Thread starter
- #1

#### karush

##### Well-known member

- Jan 31, 2012

- 3,066

Construct 3 augmented matrices for linear systems whose solution set is $x_1=3, \quad x_2=-2, \quad x_3=-1$

ok the only thing I could think of is just rearrange the rows of an RREF matrix. albeit losing the triangle format

hopefully no typos

$\left[\begin{array}{rrr|rr}

1& 0& 0& 3\\ 0& 1& 0& -2\\ 0& 0& 1& -1\\

\end{array}\right]

\quad

\left[\begin{array}{rrr|rr}

0& 1& 0& -2\\ 1& 0& 0& 3\\ 0& 0& 1& -1\\

\end{array}\right]

\quad

\left[\begin{array}{rrr|rr}

0& 1& 0& -2\\0& 0& 1& -1\\ 1& 0& 0& 3\\

\end{array}\right]

$