Question

Determine os números reais x e y de modo que as matrizes A e B sejam iguais.

A= |-6 2x| |8 -2| + B= |2y -10| |6 2| = |16 2| |14 0|​

Answer 1

Resposta:

Explicação passo-a-passo:

Temos que ter

$\left[\begin{array}{ccc}-6&2x\\8&-2\end{array}\right]+\left[\begin{array}{ccc}2y&-10\\6&2\end{array}\right]=\left[\begin{array}{ccc}16&2\\14&0\end{array}\right]$

$\left[\begin{array}{ccc}2y-6&2x-10\\8+6&-2+2\end{array}\right]=\left[\begin{array}{ccc}16&2\\14&0\end{array}\right]$

Assim, temos que

2y - 6 = 16 => 2y = 16 - 6 => 2y = 10 => y = 10/2 m=> y = 5

2x - 10 = 2 => 2x = 2 + 10 => 2x = 12 => x = 12/2 => x = 6