Linear Algebra Examples

$[\begin{array}{c} 1 & 2 & - 1 \end{array}]$

Step 1

The pivot positions are the locations with the leading $1$ in each row. The pivot columns are the columns that have a pivot position.

Pivot Positions: $a_{11}$

Pivot Columns: $1$

Step 2

The rank is the number of pivot columns.

$1$