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$[\begin{array}{c} c - 6 d \\ d \\ c \end{array}]$

خطوة 1

Multiply each element of $R_{1}$ by $\frac{1}{c - 6 d}$ to make the entry at $1, 1$ a $1$ .

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خطوة 1.1

Multiply each element of $R_{1}$ by $\frac{1}{c - 6 d}$ to make the entry at $1, 1$ a $1$ .

$[\begin{array}{c} \frac{c - 6 d}{c - 6 d} \\ d \\ c \end{array}]$

خطوة 1.2

بسّط $R_{1}$ .

$[\begin{array}{c} 1 \\ d \\ c \end{array}]$

خطوة 2

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

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خطوة 2.1

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

$[\begin{array}{c} 1 \\ d - d \cdot 1 \\ c \end{array}]$

خطوة 2.2

بسّط $R_{2}$ .

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

خطوة 3

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

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خطوة 3.1

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

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

خطوة 3.2

بسّط $R_{3}$ .

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