Álgebra Exemplos

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

Etapa 1

Adicione os elementos correspondentes.

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

Etapa 2

Simplify each element.

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Etapa 2.1

Some $4$ e $5$ .

$[\begin{array}{c} 9 & 2 + 9 \\ 0 + 8 & 1 + 2 \end{array}] = [\begin{array}{c} 9 & x \\ 8 & 3 \end{array}]$

Etapa 2.2

Some $2$ e $9$ .

$[\begin{array}{c} 9 & 11 \\ 0 + 8 & 1 + 2 \end{array}] = [\begin{array}{c} 9 & x \\ 8 & 3 \end{array}]$

Etapa 2.3

Some $0$ e $8$ .

$[\begin{array}{c} 9 & 11 \\ 8 & 1 + 2 \end{array}] = [\begin{array}{c} 9 & x \\ 8 & 3 \end{array}]$

Etapa 2.4

Some $1$ e $2$ .

$[\begin{array}{c} 9 & 11 \\ 8 & 3 \end{array}] = [\begin{array}{c} 9 & x \\ 8 & 3 \end{array}]$

Etapa 3

Write as a linear system of equations.

$9 = 9$

$11 = x$

$8 = 8$

$3 = 3$

Etapa 4

Since $3 = 3$ is always true, the matrix equation has infinite solutions.

Infinite solutions satisfying $11 = x$ .