Question

Dada a Matriz: ....
Determine a matriz X tal que:

Answer 1

$X + 3A - B = 2C \\ X = 2C - 3A + B \\ \\ X = 2 \left[\begin{array}{ccc}1&3&5\\4&2&3\end{array}\right] - 3 \left[\begin{array}{ccc}- 3&4&1\\0&2&- 2\end{array}\right] + \left[\begin{array}{ccc}1&1&0\\- 1&1&2\end{array}\right] \\ \\ X = \left[\begin{array}{ccc}2&6&10\\8&4&6\end{array}\right] - \left[\begin{array}{ccc}- 9&12&3\\0&6&- 6\end{array}\right] + \left[\begin{array}{ccc}1&1&0\\- 1&1&2\end{array}\right]$
$X = \left[\begin{array}{ccc}2&6&10\\8&4&6\end{array}\right] - \left[\begin{array}{ccc}- 8&13&3\\- 1&7&- 4\end{array}\right] = \left[\begin{array}{ccc}10&- 7&7\\9&5&10\end{array}\right]$


$2B + C + X = A \\X = - 2B - C + A \\ \\ X = (- 2) \left[\begin{array}{ccc}1&1&0\\- 1&1&2\end{array}\right] - \left[\begin{array}{ccc}1&3&5\\4&2&3\end{array}\right] + \left[\begin{array}{ccc}- 3&4&1\\0&2&- 2\end{array}\right] \\ \\ X = \left[\begin{array}{ccc}- 2&- 2&0\\2&- 2&- 4\end{array}\right] - \left[\begin{array}{ccc}- 2&7&6\\4&4&1\end{array}\right] = \left[\begin{array}{ccc}0&- 9&- 6\\- 2&- 6&- 5\end{array}\right]$

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