Álgebra linear Exemplos

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

Etapa 1

Adicione os elementos correspondentes.

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

Etapa 2

Simplify each element.

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Etapa 2.1

Some $8$ e $1$ .

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

Etapa 2.2

Some $- 7$ e $2$ .

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

Etapa 2.3

Some $2$ e $3$ .

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

Etapa 2.4

Some $3$ e $4$ .

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

Etapa 2.5

Some $7$ e $5$ .

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

Etapa 2.6

Some $- 1$ e $6$ .

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

Etapa 2.7

Some $0$ e $7$ .

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

Etapa 2.8

Subtraia $1$ de $9$ .

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

Etapa 2.9

Subtraia $5$ de $- 3$ .

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

Etapa 2.10

Subtraia $4$ de $1$ .

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

Etapa 2.11

Some $2$ e $9$ .

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

Etapa 2.12

Subtraia $2$ de $1$ .

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

Etapa 2.13

Subtraia $3$ de $- 2$ .

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

Etapa 2.14

Some $- 4$ e $0$ .

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