Precálculo Ejemplos

$[\begin{array}{c} 7 & 2 & 2 \\ 2 & 2 & 7 \end{array}]$

Paso 1

Multiply each element of

$R_{1}$ by

$\frac{1}{7}$ to make the entry at

$1, 1$ a

$1$ .

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Paso 1.1

Multiply each element of

$R_{1}$ by

$\frac{1}{7}$ to make the entry at

$1, 1$ a

$1$ .

$[\begin{array}{c} \frac{7}{7} & \frac{2}{7} & \frac{2}{7} \\ 2 & 2 & 7 \end{array}]$

Paso 1.2

Simplifica

$R_{1}$ .

$[\begin{array}{c} 1 & \frac{2}{7} & \frac{2}{7} \\ 2 & 2 & 7 \end{array}]$

Paso 2

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 2.1

Perform the row operation

$R_{2} = R_{2} - 2 R_{1}$ to make the entry at

$2, 1$ a

$0$ .

$[\begin{array}{c} 1 & \frac{2}{7} & \frac{2}{7} \\ 2 - 2 \cdot 1 & 2 - 2 (\frac{2}{7}) & 7 - 2 (\frac{2}{7}) \end{array}]$

Paso 2.2

Simplifica

$R_{2}$ .

$[\begin{array}{c} 1 & \frac{2}{7} & \frac{2}{7} \\ 0 & \frac{10}{7} & \frac{45}{7} \end{array}]$

Paso 3

Multiply each element of

$R_{2}$ by

$\frac{7}{10}$ to make the entry at

$2, 2$ a

$1$ .

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Paso 3.1

Multiply each element of

$R_{2}$ by

$\frac{7}{10}$ to make the entry at

$2, 2$ a

$1$ .

$[\begin{array}{c} 1 & \frac{2}{7} & \frac{2}{7} \\ \frac{7}{10} \cdot 0 & \frac{7}{10} \cdot \frac{10}{7} & \frac{7}{10} \cdot \frac{45}{7} \end{array}]$

Paso 3.2

Simplifica

$R_{2}$ .

$[\begin{array}{c} 1 & \frac{2}{7} & \frac{2}{7} \\ 0 & 1 & \frac{9}{2} \end{array}]$

Paso 4

Perform the row operation

$R_{1} = R_{1} - \frac{2}{7} R_{2}$ to make the entry at

$1, 2$ a

$0$ .

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Paso 4.1

Perform the row operation

$R_{1} = R_{1} - \frac{2}{7} R_{2}$ to make the entry at

$1, 2$ a

$0$ .

$[\begin{array}{c} 1 - \frac{2}{7} \cdot 0 & \frac{2}{7} - \frac{2}{7} \cdot 1 & \frac{2}{7} - \frac{2}{7} \cdot \frac{9}{2} \\ 0 & 1 & \frac{9}{2} \end{array}]$

Paso 4.2

Simplifica

$R_{1}$ .

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

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