Augmented Matrices and Row Operations Worksheet with Answer Key

What's on the worksheet

1. Line up each system, then write its augmented matrix in the variable order given.
2. Use the augmented matrix N =\left[\begin{array}{ccc|c} 2 & 0 & -1 & 5 \\ 0 & 3 & 1 & -2 \\ 1 & -1 & 0 & 4 \end{array}\right]
3. Start from M = \left[\begin{array}{ccc|c} -6 & 2 & -6 & 8 \\ 3 & 2 & 5 & 1 \\ 1 & -1 & -3 & 4 \end{array}\right]
4. Use the augmented matrix Q =\left[\begin{array}{ccc|c} 4 & 2 & -6 & 10 \\ 6 & -1 & 5 & 3 \\ 1 & 3 & 0 & -2 \end{array}\right] Each part starts again…
5. Jin writes the augmented matrix of x + 2y = 4, -3x + y = 9 and applies R_2 + 3R_1 R_2.
6. Let P = \left[\begin{array}{ccc|c} 2 & -4 & 6 & 8 \\ 3 & 1 & -2 & 5 \end{array}\right] For each matrix, name the single row operation that turns P…
7. Priya works on the augmented matrix of x + y = 3, x - y = 1, whose only solution is (2, 1).