Aljabar Linear Contoh

x + [\begin{array}{c} 1 & 0 \\ 0 & 1 \end{array}] = [\begin{array}{c} 2 & - 2 \\ 9 & - 9 \end{array}]

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

Langkah 1

Move all terms not containing a variable to the right side.

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Langkah 1.1

Kurangkan

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

$[\begin{array}{c} 1 & 0 \\ 0 & 1 \end{array}]$ dari kedua sisi persamaan tersebut.

x = [\begin{array}{c} 2 & - 2 \\ 9 & - 9 \end{array}] - [\begin{array}{c} 1 & 0 \\ 0 & 1 \end{array}]

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

x = [\begin{array}{c} 2 & - 2 \\ 9 & - 9 \end{array}] - [\begin{array}{c} 1 & 0 \\ 0 & 1 \end{array}]

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

Langkah 2

Sederhanakan sisi kanannya.

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Langkah 2.1

Kurangkan elemen yang seletak.

x = [\begin{array}{c} 2 - 1 & - 2 - 0 \\ 9 - 0 & - 9 - 1 \end{array}]

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

Langkah 2.2

Simplify each element.

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Langkah 2.2.1

Kurangi

1

$1$ dengan

2

$2$ .

x = [\begin{array}{c} 1 & - 2 - 0 \\ 9 - 0 & - 9 - 1 \end{array}]

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

Langkah 2.2.2

Kurangi

0

$0$ dengan

- 2

$- 2$ .

x = [\begin{array}{c} 1 & - 2 \\ 9 - 0 & - 9 - 1 \end{array}]

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

Langkah 2.2.3

Kurangi

0

$0$ dengan

9

$9$ .

x = [\begin{array}{c} 1 & - 2 \\ 9 & - 9 - 1 \end{array}]

$x = [\begin{array}{c} 1 & - 2 \\ 9 & - 9 - 1 \end{array}]$

Langkah 2.2.4

Kurangi

1

$1$ dengan

- 9

$- 9$ .

x = [\begin{array}{c} 1 & - 2 \\ 9 & - 10 \end{array}]

$x = [\begin{array}{c} 1 & - 2 \\ 9 & - 10 \end{array}]$

x = [\begin{array}{c} 1 & - 2 \\ 9 & - 10 \end{array}]

$x = [\begin{array}{c} 1 & - 2 \\ 9 & - 10 \end{array}]$

x = [\begin{array}{c} 1 & - 2 \\ 9 & - 10 \end{array}]

$x = [\begin{array}{c} 1 & - 2 \\ 9 & - 10 \end{array}]$

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