Linear Algebra Examples

$[\begin{array}{c} 1 & 0 & 0 & 2 \\ 0 & 1 & 0 & - 3 \\ 0 & 0 & 1 & 5 \end{array}]$

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: $a_{11}, a_{22},$ and $a_{33}$

Pivot Columns: $1, 2,$ and $3$