Lineare Algebra Beispiele

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

Schritt 1

Subtrahiere die entsprechenden Elemente.

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

Schritt 2

Simplify each element.

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Schritt 2.1

Subtrahiere $1$ von $2$ .

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

Schritt 2.2

Subtrahiere $0$ von $0$ .

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

Schritt 2.3

Subtrahiere $0$ von $- 2$ .

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

Schritt 2.4

Subtrahiere $0$ von $1$ .

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

Schritt 2.5

Subtrahiere $1$ von $3$ .

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

Schritt 2.6

Subtrahiere $0$ von $2$ .

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

Schritt 2.7

Subtrahiere $0$ von $0$ .

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

Schritt 2.8

Subtrahiere $0$ von $0$ .

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

Schritt 2.9

Subtrahiere $1$ von $3$ .

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