Aljabar Linear Contoh

[\begin{array}{c} 2.04 a & - 1 b & 0 d & 0 g \\ - 1 a & 2.04 b & - 1 d & 0 g \\ 0 a & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]

$[\begin{array}{c} 2.04 a & - 1 b & 0 d & 0 g \\ - 1 a & 2.04 b & - 1 d & 0 g \\ 0 a & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]$

Langkah 1

Tulis kembali

- 1 b

$- 1 b$ sebagai

- b

$- b$ .

[\begin{array}{c} 2.04 a & - b & 0 d & 0 g \\ - 1 a & 2.04 b & - 1 d & 0 g \\ 0 a & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]

$[\begin{array}{c} 2.04 a & - b & 0 d & 0 g \\ - 1 a & 2.04 b & - 1 d & 0 g \\ 0 a & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]$

Langkah 2

Kalikan

0

$0$ dengan

d

$d$ .

[\begin{array}{c} 2.04 a & - b & 0 & 0 g \\ - 1 a & 2.04 b & - 1 d & 0 g \\ 0 a & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]

$[\begin{array}{c} 2.04 a & - b & 0 & 0 g \\ - 1 a & 2.04 b & - 1 d & 0 g \\ 0 a & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]$

Langkah 3

Kalikan

0

$0$ dengan

g

$g$ .

[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - 1 a & 2.04 b & - 1 d & 0 g \\ 0 a & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]

$[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - 1 a & 2.04 b & - 1 d & 0 g \\ 0 a & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]$

Langkah 4

Tulis kembali

- 1 a

$- 1 a$ sebagai

- a

$- a$ .

[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - 1 d & 0 g \\ 0 a & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]

$[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - 1 d & 0 g \\ 0 a & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]$

Langkah 5

Tulis kembali

- 1 d

$- 1 d$ sebagai

- d

$- d$ .

[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 g \\ 0 a & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]

$[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 g \\ 0 a & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]$

Langkah 6

Kalikan

0

$0$ dengan

g

$g$ .

[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 \\ 0 a & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]

$[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 \\ 0 a & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]$

Langkah 7

Kalikan

0

$0$ dengan

a

$a$ .

[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 \\ 0 & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]

$[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 \\ 0 & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]$

Langkah 8

Tulis kembali

- 1 b

$- 1 b$ sebagai

- b

$- b$ .

[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 \\ 0 & - b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]

$[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 \\ 0 & - b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]$

Langkah 9

Tulis kembali

- 1 g

$- 1 g$ sebagai

- g

$- g$ .

[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 \\ 0 & - b & 2.04 d & - g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]

$[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 \\ 0 & - b & 2.04 d & - g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]$

Langkah 10

Kalikan

0

$0$ dengan

a

$a$ .

[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 \\ 0 & - b & 2.04 d & - g \\ 0 & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]

$[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 \\ 0 & - b & 2.04 d & - g \\ 0 & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]$

Langkah 11

Kalikan

0

$0$ dengan

b

$b$ .

[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 \\ 0 & - b & 2.04 d & - g \\ 0 & 0 & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]

$[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 \\ 0 & - b & 2.04 d & - g \\ 0 & 0 & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]$

Langkah 12

Tulis kembali

- 1 d

$- 1 d$ sebagai

- d

$- d$ .

[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 \\ 0 & - b & 2.04 d & - g \\ 0 & 0 & - d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]

$[\begin{array}{c} 2.04 a & - b & 0 & 0 \\ - a & 2.04 b & - d & 0 \\ 0 & - b & 2.04 d & - g \\ 0 & 0 & - d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]$