Álgebra linear Exemplos

$[\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 0 \end{array}] - [\begin{array}{c} 0 & 1 & 0 \\ 0 & 0 & 0 \\ - 1 & 0 & 1 \end{array}]$

Etapa 1

Subtraia os elementos correspondentes.

$[\begin{array}{c} 1 - 0 & 0 - 1 & 0 - 0 \\ 0 - 0 & 1 - 0 & 1 - 0 \\ 0 + 1 & 0 - 0 & 0 - 1 \end{array}]$

Etapa 2

Simplifique cada elemento.

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Etapa 2.1

Subtraia $0$ de $1$ .

$[\begin{array}{c} 1 & 0 - 1 & 0 - 0 \\ 0 - 0 & 1 - 0 & 1 - 0 \\ 0 + 1 & 0 - 0 & 0 - 1 \end{array}]$

Etapa 2.2

Subtraia $1$ de $0$ .

$[\begin{array}{c} 1 & - 1 & 0 - 0 \\ 0 - 0 & 1 - 0 & 1 - 0 \\ 0 + 1 & 0 - 0 & 0 - 1 \end{array}]$

Etapa 2.3

Subtraia $0$ de $0$ .

$[\begin{array}{c} 1 & - 1 & 0 \\ 0 - 0 & 1 - 0 & 1 - 0 \\ 0 + 1 & 0 - 0 & 0 - 1 \end{array}]$

Etapa 2.4

Subtraia $0$ de $0$ .

$[\begin{array}{c} 1 & - 1 & 0 \\ 0 & 1 - 0 & 1 - 0 \\ 0 + 1 & 0 - 0 & 0 - 1 \end{array}]$

Etapa 2.5

Subtraia $0$ de $1$ .

$[\begin{array}{c} 1 & - 1 & 0 \\ 0 & 1 & 1 - 0 \\ 0 + 1 & 0 - 0 & 0 - 1 \end{array}]$

Etapa 2.6

Subtraia $0$ de $1$ .

$[\begin{array}{c} 1 & - 1 & 0 \\ 0 & 1 & 1 \\ 0 + 1 & 0 - 0 & 0 - 1 \end{array}]$

Etapa 2.7

Some $0$ e $1$ .

$[\begin{array}{c} 1 & - 1 & 0 \\ 0 & 1 & 1 \\ 1 & 0 - 0 & 0 - 1 \end{array}]$

Etapa 2.8

Subtraia $0$ de $0$ .

$[\begin{array}{c} 1 & - 1 & 0 \\ 0 & 1 & 1 \\ 1 & 0 & 0 - 1 \end{array}]$

Etapa 2.9

Subtraia $1$ de $0$ .

$[\begin{array}{c} 1 & - 1 & 0 \\ 0 & 1 & 1 \\ 1 & 0 & - 1 \end{array}]$