Álgebra linear Exemplos

$[\begin{array}{c} - 2 & - 2 & - 6 \\ - 10 & - 4 & - 12 \\ 4 & 2 & 6 \end{array}] - [\begin{array}{c} 1 & 1 & 3 \\ 5 & 2 & 6 \\ - 2 & - 1 & - 3 \end{array}]$

Etapa 1

Subtraia os elementos correspondentes.

$[\begin{array}{c} - 2 - 1 & - 2 - 1 & - 6 - 3 \\ - 10 - 5 & - 4 - 2 & - 12 - 6 \\ 4 + 2 & 2 + 1 & 6 + 3 \end{array}]$

Etapa 2

Simplify each element.

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Etapa 2.1

Subtraia $1$ de $- 2$ .

$[\begin{array}{c} - 3 & - 2 - 1 & - 6 - 3 \\ - 10 - 5 & - 4 - 2 & - 12 - 6 \\ 4 + 2 & 2 + 1 & 6 + 3 \end{array}]$

Etapa 2.2

Subtraia $1$ de $- 2$ .

$[\begin{array}{c} - 3 & - 3 & - 6 - 3 \\ - 10 - 5 & - 4 - 2 & - 12 - 6 \\ 4 + 2 & 2 + 1 & 6 + 3 \end{array}]$

Etapa 2.3

Subtraia $3$ de $- 6$ .

$[\begin{array}{c} - 3 & - 3 & - 9 \\ - 10 - 5 & - 4 - 2 & - 12 - 6 \\ 4 + 2 & 2 + 1 & 6 + 3 \end{array}]$

Etapa 2.4

Subtraia $5$ de $- 10$ .

$[\begin{array}{c} - 3 & - 3 & - 9 \\ - 15 & - 4 - 2 & - 12 - 6 \\ 4 + 2 & 2 + 1 & 6 + 3 \end{array}]$

Etapa 2.5

Subtraia $2$ de $- 4$ .

$[\begin{array}{c} - 3 & - 3 & - 9 \\ - 15 & - 6 & - 12 - 6 \\ 4 + 2 & 2 + 1 & 6 + 3 \end{array}]$

Etapa 2.6

Subtraia $6$ de $- 12$ .

$[\begin{array}{c} - 3 & - 3 & - 9 \\ - 15 & - 6 & - 18 \\ 4 + 2 & 2 + 1 & 6 + 3 \end{array}]$

Etapa 2.7

Some $4$ e $2$ .

$[\begin{array}{c} - 3 & - 3 & - 9 \\ - 15 & - 6 & - 18 \\ 6 & 2 + 1 & 6 + 3 \end{array}]$

Etapa 2.8

Some $2$ e $1$ .

$[\begin{array}{c} - 3 & - 3 & - 9 \\ - 15 & - 6 & - 18 \\ 6 & 3 & 6 + 3 \end{array}]$

Etapa 2.9

Some $6$ e $3$ .

$[\begin{array}{c} - 3 & - 3 & - 9 \\ - 15 & - 6 & - 18 \\ 6 & 3 & 9 \end{array}]$