Matematika Berhingga Contoh

$[\begin{array}{c} 1 & 1 & 5 \\ 3 & 2 & 12 \end{array}]$

Langkah 1

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

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Langkah 1.1

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

$[\begin{array}{c} 1 & 1 & 5 \\ 3 - 3 \cdot 1 & 2 - 3 \cdot 1 & 12 - 3 \cdot 5 \end{array}]$

Langkah 1.2

Sederhanakan $R_{2}$ .

$[\begin{array}{c} 1 & 1 & 5 \\ 0 & - 1 & - 3 \end{array}]$

Langkah 2

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

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Langkah 2.1

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

$[\begin{array}{c} 1 & 1 & 5 \\ - 0 & - - 1 & - - 3 \end{array}]$

Langkah 2.2

Sederhanakan $R_{2}$ .

$[\begin{array}{c} 1 & 1 & 5 \\ 0 & 1 & 3 \end{array}]$

Langkah 3

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

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Langkah 3.1

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

$[\begin{array}{c} 1 - 0 & 1 - 1 & 5 - 3 \\ 0 & 1 & 3 \end{array}]$

Langkah 3.2

Sederhanakan $R_{1}$ .

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