Question

Determine the solution set for the system represented by the augmented matrix.

Answer 1

In this case we can see a row of zeros in the matrix, so if we call the variables as x, y, z we can write the equation represented by the last row of the augmented matrix:

$0x+0y+0z=1$

The equation above does not have solution for any (x, y, z) values.

So the solution set is the empty set, which is the third option.