Álgebra linear Exemplos

$[\begin{array}{c} 4 & - 3 & 0 & 8 & 7 & 5 \\ 0 & 1 & 0 & 2 & - 4 & - 6 \end{array}] + [\begin{array}{c} 4 & - 1 & 7 & 5 & 4 & - 3 \\ - 12 & - 2 & - 6 & - 5 & 9 & 2 \end{array}]$

Etapa 1

Adicione os elementos correspondentes.

$[\begin{array}{c} 4 + 4 & - 3 - 1 & 0 + 7 & 8 + 5 & 7 + 4 & 5 - 3 \\ 0 - 12 & 1 - 2 & 0 - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Etapa 2

Simplifique cada elemento.

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Etapa 2.1

Some $4$ e $4$ .

$[\begin{array}{c} 8 & - 3 - 1 & 0 + 7 & 8 + 5 & 7 + 4 & 5 - 3 \\ 0 - 12 & 1 - 2 & 0 - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Etapa 2.2

Subtraia $1$ de $- 3$ .

$[\begin{array}{c} 8 & - 4 & 0 + 7 & 8 + 5 & 7 + 4 & 5 - 3 \\ 0 - 12 & 1 - 2 & 0 - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Etapa 2.3

Some $0$ e $7$ .

$[\begin{array}{c} 8 & - 4 & 7 & 8 + 5 & 7 + 4 & 5 - 3 \\ 0 - 12 & 1 - 2 & 0 - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Etapa 2.4

Some $8$ e $5$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 7 + 4 & 5 - 3 \\ 0 - 12 & 1 - 2 & 0 - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Etapa 2.5

Some $7$ e $4$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 5 - 3 \\ 0 - 12 & 1 - 2 & 0 - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Etapa 2.6

Subtraia $3$ de $5$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 2 \\ 0 - 12 & 1 - 2 & 0 - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Etapa 2.7

Subtraia $12$ de $0$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 2 \\ - 12 & 1 - 2 & 0 - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Etapa 2.8

Subtraia $2$ de $1$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 2 \\ - 12 & - 1 & 0 - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Etapa 2.9

Subtraia $6$ de $0$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 2 \\ - 12 & - 1 & - 6 & 2 - 5 & - 4 + 9 & - 6 + 2 \end{array}]$

Etapa 2.10

Subtraia $5$ de $2$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 2 \\ - 12 & - 1 & - 6 & - 3 & - 4 + 9 & - 6 + 2 \end{array}]$

Etapa 2.11

Some $- 4$ e $9$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 2 \\ - 12 & - 1 & - 6 & - 3 & 5 & - 6 + 2 \end{array}]$

Etapa 2.12

Some $- 6$ e $2$ .

$[\begin{array}{c} 8 & - 4 & 7 & 13 & 11 & 2 \\ - 12 & - 1 & - 6 & - 3 & 5 & - 4 \end{array}]$