Álgebra linear Exemplos

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

Etapa 1

Adicione os elementos correspondentes.

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

Etapa 2

Simplify each element.

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Etapa 2.1

Some $4$ e $2$ .

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

Etapa 2.2

Some $1$ e $5$ .

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

Etapa 2.3

Some $2$ e $4$ .

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

Etapa 2.4

Some $5$ e $9$ .

$[\begin{array}{c} 6 & 6 & 6 \\ 14 & 7 + 3 & 1 + 7 \\ 3 + 2 & 9 + 1 & 6 + 6 \end{array}]$

Etapa 2.5

Some $7$ e $3$ .

$[\begin{array}{c} 6 & 6 & 6 \\ 14 & 10 & 1 + 7 \\ 3 + 2 & 9 + 1 & 6 + 6 \end{array}]$

Etapa 2.6

Some $1$ e $7$ .

$[\begin{array}{c} 6 & 6 & 6 \\ 14 & 10 & 8 \\ 3 + 2 & 9 + 1 & 6 + 6 \end{array}]$

Etapa 2.7

Some $3$ e $2$ .

$[\begin{array}{c} 6 & 6 & 6 \\ 14 & 10 & 8 \\ 5 & 9 + 1 & 6 + 6 \end{array}]$

Etapa 2.8

Some $9$ e $1$ .

$[\begin{array}{c} 6 & 6 & 6 \\ 14 & 10 & 8 \\ 5 & 10 & 6 + 6 \end{array}]$

Etapa 2.9

Some $6$ e $6$ .

$[\begin{array}{c} 6 & 6 & 6 \\ 14 & 10 & 8 \\ 5 & 10 & 12 \end{array}]$