Algèbre linéaire Exemples

⎡ ⎢ ⎢ ⎣ \begin{matrix} 1 & 0 & \frac{2}{9} 0 & 1 & - \frac{4}{9} 0 & 0 & 0 \end{matrix} ⎤ ⎥ ⎥ ⎦

$[\begin{array}{c} 1 & 0 & \frac{2}{9} \\ 0 & 1 & - \frac{4}{9} \\ 0 & 0 & 0 \end{array}]$

Étape 1

The pivot positions are the locations with the leading

1

$1$ in each row. The pivot columns are the columns that have a pivot position.

Pivot Positions:

a_{11}

$a_{11}$ and

a_{22}

$a_{22}$

Pivot Columns:

1

$1$ and

2

$2$

Étape 2

The rank is the number of pivot columns.

2

$2$