Question

Determine a Matriz X tal que 2x - 3A= -5x sabendo que A= [-1] [2] [8] (uma coluna, 3 linhas)

Answer 1

$2X-3A~=~-5X\\\\\\2X+5X~=~3A\\\\\\7X~=~3A\\\\\\X~=~\frac{3}{7}A\\\\\\X~=~\frac{3}{7}~.~\left[\begin{array}{ccc}-1\\2\\8\end{array}\right] \\\\\\X~=~\left[\begin{array}{ccc}\frac{3}{7}~.~-1\\\frac{3}{7}~.~2\\\frac{3}{7}~.~8\end{array}\right]\\\\\\X~=~\left[\begin{array}{ccc}-\frac{3}{7}\\~\frac{6}{7}\\~\frac{24}{7}\end{array}\right]$