Question

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Answer 1

$\left[\begin{array}{ccc}1&2\\3&1\end{array}\right] .x +\left[\begin{array}{ccc}0&3\\7&-1\end{array}\right] = \left[\begin{array}{ccc}8&10\\12&5\end{array}\right] \\\\\\\\\left[\begin{array}{ccc}1x&2x\\3x&1x\end{array}\right] + \left[\begin{array}{ccc}0&3\\7&-1\end{array}\right] = \left[\begin{array}{ccc}8&10\\12&5\end{array}\right] \\\\\\\\\\\left[\begin{array}{ccc}1x+0&2x+3\\3x+7&1x-1\end{array}\right] =\left[\begin{array}{ccc}8&10\\12&5\end{array}\right]$

1x + 0 = 8

1x = 8

x = 8/1

x= 8

2x + 3 = 10

2x = 10-3

2x = 7

x = 7/2

x= 3,5

3x + 7 = 12

3x = 12 -7

3x = 5

x = 5/3

x = 1,667

1x-1 = 5

x = 5 + 1

x = 6

Substituindo na matriz

$\left[\begin{array}{ccc}1x+0&2x+3\\3x+7&1x-1\end{array}\right] = \left[\begin{array}{ccc}8&10\\12&5\end{array}\right] \\\\\\\\\left[\begin{array}{ccc}1.8+0&2.3,5+3\\3.1,667+7&1.6-1\end{array}\right] = \left[\begin{array}{ccc}8&10\\12&5\end{array}\right] \\\\\\\left[\begin{array}{ccc}8+0&7+3\\5+7&6-1\end{array}\right] =\left[\begin{array}{ccc}8&10\\12&5\end{array}\right] \\\\\\\left[\begin{array}{ccc}8&10\\12&5\end{array}\right] =\left[\begin{array}{ccc}8&10\\12&5\end{array}\right]$