Matematica discreta Esempi

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

Passaggio 1

Multiply each element of $R_{2}$ by $- \frac{1}{9}$ to make the entry at $2, 3$ a $1$ .

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Passaggio 1.1

Multiply each element of $R_{2}$ by $- \frac{1}{9}$ to make the entry at $2, 3$ a $1$ .

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

Passaggio 1.2

Semplifica $R_{2}$ .

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

Passaggio 2

Perform the row operation $R_{1} = R_{1} - 7 R_{2}$ to make the entry at $1, 3$ a $0$ .

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Passaggio 2.1

Perform the row operation $R_{1} = R_{1} - 7 R_{2}$ to make the entry at $1, 3$ a $0$ .

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

Passaggio 2.2

Semplifica $R_{1}$ .

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