Matemática discreta Ejemplos

$[\begin{array}{c} - 8 & - 14 & - 2 x \end{array}] - [\begin{array}{c} - 19 & 17 & - 1 \end{array}] + [\begin{array}{c} 14 & 13 & - 2 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Paso 1

Resta los elementos correspondientes.

$[\begin{array}{c} - 8 + 19 & - 14 - 17 & - 2 x + 1 \end{array}] + [\begin{array}{c} 14 & 13 & - 2 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Paso 2

Simplify each element.

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Paso 2.1

Suma $- 8$ y $19$ .

$[\begin{array}{c} 11 & - 14 - 17 & - 2 x + 1 \end{array}] + [\begin{array}{c} 14 & 13 & - 2 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Paso 2.2

Resta $17$ de $- 14$ .

$[\begin{array}{c} 11 & - 31 & - 2 x + 1 \end{array}] + [\begin{array}{c} 14 & 13 & - 2 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Paso 3

Suma los elementos correspondientes.

$[\begin{array}{c} 11 + 14 & - 31 + 13 & - 2 x + 1 - 2 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Paso 4

Simplify each element.

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Paso 4.1

Suma $11$ y $14$ .

$[\begin{array}{c} 25 & - 31 + 13 & - 2 x + 1 - 2 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Paso 4.2

Suma $- 31$ y $13$ .

$[\begin{array}{c} 25 & - 18 & - 2 x + 1 - 2 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Paso 4.3

Resta $2$ de $1$ .

$[\begin{array}{c} 25 & - 18 & - 2 x - 1 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Paso 5

Write as a linear system of equations.

$25 = - 3$

$- 18 = - 44$

$- 2 x - 1 = - 9$

Paso 6

Since $- 18 \neq - 44$ , the matrix equation has no solution.

No hay solución