Do pivots have to be consecutive across the columns or can their be a break?

Question

I have a 3x3 matrix as described below.

Is the rank of this matrix 1 or 2?

Or otherwise asked, is it okay to have "gaps" in the pivots across the columns?

$$ \left(\begin{array}{cc} 1 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 1 \\ \end{array}\right) $$