15- Me terme nar, en cala caso, a matriz. a) x=[1 & 2 & 5 -1 & 7 & 2 b) x+[1 & 2 5 & 2 c) 2 x=[1 & (1)/(2) & (1)/(4) d) 3 x^+=[1 & 1 2 & 7]

resposta correta é a opção b) \( x+\left[\begin{array}{ll}1 \\ 5 & 2\end{array}\right]=\left[\begin{array}{ll}0 & 0 \\ 2 & 3\end{array}\right]^{+} \).<br /><br />Para encontrar a matriz \( x \), podemos rearranjar a equação dada:<br /><br />\( x = \left[\begin{array}{ll}0 & 0 \\ 2 & 3\end{array}\right]^{+} - \left[\begin{array}{ll}1 & 2 \\ 5 & 2\end{array}\right] \)<br /><br />Calculando a matriz \( \left[\begin{array}{ll}0 & 0 \\ 2 & 3\end{array}\right]^{+} \), obtemos:<br /><br />\( \left[\begin{array}{ll}0 & 0 \\ 2 & 3\end{array}\right]^{+} = \left[\begin{array}{ll}0 & 0 \\ 2 & 3\end{array}\right] \)<br /><br />Agora, podemos calcular a matriz \( x \):<br /><br />\( x = \left[\begin{array}{ll}0 & 0 \\ 2 & 3\end{array}\right] - \left[\begin{array}{ll}1 & 2 \\ 5 & 2\end{array}\right] \)<br /><br />\( x = \left[\begin{array}{ll}-1 & -2 \\ -3 & 1\end{array}\right] \ matriz \( x \) é:<br /><br />\( x = \left[\begin{array}{ll}-1 & -2 \\ -3 & 1\end{array}\right] \)