For this augmented matrix, the answer is that it they are linearly dependent. We are asked to find whether the coefficients are linearly independent or dependent?

For some reason I though considering there is no solution that they would be independent.

Could someone please show me why. Thanks

$\displaystyle

\left( {\begin{array}{*{20}c}

1 & 0 & 0 & 2 \\

0 & 1 & 0 & 1 \\

0 & 0 & 0 & 3 \\

\end{array}} \right)

$