Lineare Algebra Beispiele

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

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

Schritt 1

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

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Schritt 1.1

Subtrahiere

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

$[\begin{array}{c} 1 & 0 \\ 0 & 1 \end{array}]$ von beiden Seiten der Gleichung.

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}]

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

Schritt 2

Vereinfache die rechte Seite.

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Schritt 2.1

Subtrahiere die entsprechenden Elemente.

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

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

Schritt 2.2

Simplify each element.

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Schritt 2.2.1

Subtrahiere

1

$1$ von

2

$2$ .

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

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

Schritt 2.2.2

Subtrahiere

0

$0$ von

- 2

$- 2$ .

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

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

Schritt 2.2.3

Subtrahiere

0

$0$ von

9

$9$ .

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

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

Schritt 2.2.4

Subtrahiere

1

$1$ von

- 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}]

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

Gib DEINE Aufgabe ein