Álgebra lineal Ejemplos

$[\begin{array}{c} 1 & 2 \\ 2 & 4 \\ 3 & 6 \end{array}]$

Paso 1

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

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Paso 1.1

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

$[\begin{array}{c} 1 & 2 \\ 2 - 2 \cdot 1 & 4 - 2 \cdot 2 \\ 3 & 6 \end{array}]$

Paso 1.2

Simplifica $R_{2}$ .

$[\begin{array}{c} 1 & 2 \\ 0 & 0 \\ 3 & 6 \end{array}]$

Paso 2

Perform the row operation $R_{3} = R_{3} - 3 R_{1}$ to make the entry at $3, 1$ a $0$ .

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Paso 2.1

Perform the row operation $R_{3} = R_{3} - 3 R_{1}$ to make the entry at $3, 1$ a $0$ .

$[\begin{array}{c} 1 & 2 \\ 0 & 0 \\ 3 - 3 \cdot 1 & 6 - 3 \cdot 2 \end{array}]$

Paso 2.2

Simplifica $R_{3}$ .

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