Álgebra linear Exemplos

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

Etapa 1

Adicione os elementos correspondentes.

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

Etapa 2

Simplify each element.

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Etapa 2.1

Some $5$ e $9$ .

$[\begin{array}{c} 14 & 4 + 7 \\ - 3 + 7 & 7 + 9 \end{array}] - [\begin{array}{c} 6 & 3 \\ 3 & 6 \end{array}]$

Etapa 2.2

Some $4$ e $7$ .

$[\begin{array}{c} 14 & 11 \\ - 3 + 7 & 7 + 9 \end{array}] - [\begin{array}{c} 6 & 3 \\ 3 & 6 \end{array}]$

Etapa 2.3

Some $- 3$ e $7$ .

$[\begin{array}{c} 14 & 11 \\ 4 & 7 + 9 \end{array}] - [\begin{array}{c} 6 & 3 \\ 3 & 6 \end{array}]$

Etapa 2.4

Some $7$ e $9$ .

$[\begin{array}{c} 14 & 11 \\ 4 & 16 \end{array}] - [\begin{array}{c} 6 & 3 \\ 3 & 6 \end{array}]$

Etapa 3

Subtraia os elementos correspondentes.

$[\begin{array}{c} 14 - 6 & 11 - 3 \\ 4 - 3 & 16 - 6 \end{array}]$

Etapa 4

Simplify each element.

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Etapa 4.1

Subtraia $6$ de $14$ .

$[\begin{array}{c} 8 & 11 - 3 \\ 4 - 3 & 16 - 6 \end{array}]$

Etapa 4.2

Subtraia $3$ de $11$ .

$[\begin{array}{c} 8 & 8 \\ 4 - 3 & 16 - 6 \end{array}]$

Etapa 4.3

Subtraia $3$ de $4$ .

$[\begin{array}{c} 8 & 8 \\ 1 & 16 - 6 \end{array}]$

Etapa 4.4

Subtraia $6$ de $16$ .

$[\begin{array}{c} 8 & 8 \\ 1 & 10 \end{array}]$