Lineare Algebra Beispiele

[\begin{array}{c} 5 & - 2 \\ 4 & 1 \end{array}] - [\begin{array}{c} 0 & - 2 \\ 4 & - 2 \end{array}]

$[\begin{array}{c} 5 & - 2 \\ 4 & 1 \end{array}] - [\begin{array}{c} 0 & - 2 \\ 4 & - 2 \end{array}]$

Schritt 1

Subtrahiere die entsprechenden Elemente.

[\begin{array}{c} 5 - 0 & - 2 + 2 \\ 4 - 4 & 1 + 2 \end{array}]

$[\begin{array}{c} 5 - 0 & - 2 + 2 \\ 4 - 4 & 1 + 2 \end{array}]$

Schritt 2

Simplify each element.

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Schritt 2.1

Subtrahiere

0

$0$ von

5

$5$ .

[\begin{array}{c} 5 & - 2 + 2 \\ 4 - 4 & 1 + 2 \end{array}]

$[\begin{array}{c} 5 & - 2 + 2 \\ 4 - 4 & 1 + 2 \end{array}]$

Schritt 2.2

Addiere

- 2

$- 2$ und

2

$2$ .

[\begin{array}{c} 5 & 0 \\ 4 - 4 & 1 + 2 \end{array}]

$[\begin{array}{c} 5 & 0 \\ 4 - 4 & 1 + 2 \end{array}]$

Schritt 2.3

Subtrahiere

4

$4$ von

4

$4$ .

[\begin{array}{c} 5 & 0 \\ 0 & 1 + 2 \end{array}]

$[\begin{array}{c} 5 & 0 \\ 0 & 1 + 2 \end{array}]$

Schritt 2.4

Addiere

1

$1$ und

2

$2$ .

[\begin{array}{c} 5 & 0 \\ 0 & 3 \end{array}]

$[\begin{array}{c} 5 & 0 \\ 0 & 3 \end{array}]$

[\begin{array}{c} 5 & 0 \\ 0 & 3 \end{array}]

$[\begin{array}{c} 5 & 0 \\ 0 & 3 \end{array}]$