Álgebra linear Exemplos

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

Etapa 1

Adicione os elementos correspondentes.

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

Etapa 2

Simplifique cada elemento.

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Etapa 2.1

Some $2$ e $1$ .

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

Etapa 2.2

Some $2$ e $2$ .

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

Etapa 2.3

Some $5$ e $0$ .

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

Etapa 2.4

Some $0$ e $0$ .

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

Etapa 2.5

Some $3$ e $3$ .

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

Etapa 2.6

Some $6$ e $6$ .

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

Etapa 2.7

Some $1$ e $1$ .

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

Etapa 2.8

Some $0$ e $0$ .

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

Etapa 2.9

Some $2$ e $2$ .

$[\begin{array}{c} 3 & 4 & 5 \\ 0 & 6 & 12 \\ 2 & 0 & 4 \end{array}]$