Álgebra lineal Ejemplos

$[\begin{array}{c} 1 & 2 & 3 & 4 \\ 1 & 2 & 3 & 4 \end{array}]$

Paso 1

Obtén la forma escalonada reducida por filas.

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Paso 1.1

Perform the row operation $R_{2} = R_{2} - R_{1}$ to make the entry at $2, 1$ a $0$ .

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Paso 1.1.1

Perform the row operation $R_{2} = R_{2} - R_{1}$ to make the entry at $2, 1$ a $0$ .

$[\begin{array}{c} 1 & 2 & 3 & 4 \\ 1 - 1 & 2 - 2 & 3 - 3 & 4 - 4 \end{array}]$

Paso 1.1.2

Simplifica $R_{2}$ .

$[\begin{array}{c} 1 & 2 & 3 & 4 \\ 0 & 0 & 0 & 0 \end{array}]$

Paso 2

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: $1$