Matemática discreta Ejemplos

$[\begin{array}{c} 4 & 5 & - 6 \\ 5 & - 8 & 3 \end{array}] + [\begin{array}{c} 6 & 0 & - 2 \\ 1 & 4 & 4 \end{array}] - [\begin{array}{c} 1 & 9 & 3 \\ - 12 & 5 & 4 \end{array}]$

Paso 1

Suma los elementos correspondientes.

$[\begin{array}{c} 4 + 6 & 5 + 0 & - 6 - 2 \\ 5 + 1 & - 8 + 4 & 3 + 4 \end{array}] - [\begin{array}{c} 1 & 9 & 3 \\ - 12 & 5 & 4 \end{array}]$

Paso 2

Simplify each element.

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Paso 2.1

Suma $4$ y $6$ .

$[\begin{array}{c} 10 & 5 + 0 & - 6 - 2 \\ 5 + 1 & - 8 + 4 & 3 + 4 \end{array}] - [\begin{array}{c} 1 & 9 & 3 \\ - 12 & 5 & 4 \end{array}]$

Paso 2.2

Suma $5$ y $0$ .

$[\begin{array}{c} 10 & 5 & - 6 - 2 \\ 5 + 1 & - 8 + 4 & 3 + 4 \end{array}] - [\begin{array}{c} 1 & 9 & 3 \\ - 12 & 5 & 4 \end{array}]$

Paso 2.3

Resta $2$ de $- 6$ .

$[\begin{array}{c} 10 & 5 & - 8 \\ 5 + 1 & - 8 + 4 & 3 + 4 \end{array}] - [\begin{array}{c} 1 & 9 & 3 \\ - 12 & 5 & 4 \end{array}]$

Paso 2.4

Suma $5$ y $1$ .

$[\begin{array}{c} 10 & 5 & - 8 \\ 6 & - 8 + 4 & 3 + 4 \end{array}] - [\begin{array}{c} 1 & 9 & 3 \\ - 12 & 5 & 4 \end{array}]$

Paso 2.5

Suma $- 8$ y $4$ .

$[\begin{array}{c} 10 & 5 & - 8 \\ 6 & - 4 & 3 + 4 \end{array}] - [\begin{array}{c} 1 & 9 & 3 \\ - 12 & 5 & 4 \end{array}]$

Paso 2.6

Suma $3$ y $4$ .

$[\begin{array}{c} 10 & 5 & - 8 \\ 6 & - 4 & 7 \end{array}] - [\begin{array}{c} 1 & 9 & 3 \\ - 12 & 5 & 4 \end{array}]$

Paso 3

Resta los elementos correspondientes.

$[\begin{array}{c} 10 - 1 & 5 - 9 & - 8 - 3 \\ 6 + 12 & - 4 - 5 & 7 - 4 \end{array}]$

Paso 4

Simplify each element.

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Paso 4.1

Resta $1$ de $10$ .

$[\begin{array}{c} 9 & 5 - 9 & - 8 - 3 \\ 6 + 12 & - 4 - 5 & 7 - 4 \end{array}]$

Paso 4.2

Resta $9$ de $5$ .

$[\begin{array}{c} 9 & - 4 & - 8 - 3 \\ 6 + 12 & - 4 - 5 & 7 - 4 \end{array}]$

Paso 4.3

Resta $3$ de $- 8$ .

$[\begin{array}{c} 9 & - 4 & - 11 \\ 6 + 12 & - 4 - 5 & 7 - 4 \end{array}]$

Paso 4.4

Suma $6$ y $12$ .

$[\begin{array}{c} 9 & - 4 & - 11 \\ 18 & - 4 - 5 & 7 - 4 \end{array}]$

Paso 4.5

Resta $5$ de $- 4$ .

$[\begin{array}{c} 9 & - 4 & - 11 \\ 18 & - 9 & 7 - 4 \end{array}]$

Paso 4.6

Resta $4$ de $7$ .

$[\begin{array}{c} 9 & - 4 & - 11 \\ 18 & - 9 & 3 \end{array}]$