Question

2x+3y-4z=-9
x+y+6z012
x-y+z=4

regla de kramer 3x3

Answer 1

Expresarlo en matrices:
$x = \frac{ \left[\begin{array}{ccc}-9&1&1\\12&1&-1\\4&6&1\end{array}\right] }{\left[\begin{array}{ccc}2&3&-4\\1&1&6\\1&-1&1\end{array}\right] }\left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}-9\\12\\4\end{array}\right]$
Entonces:
$y = \frac{\left[\begin{array}{ccc}2&-9&1\\1&12&-1\\1&4&1\end{array}\right] {\left[\begin{array}{ccc}2&3&-4\\1&1&6\\1&-1&1\end{array}\right] }$
$z =\frac{ \left[\begin{array}{ccc}2&3&-9\\1&1&12\\1&-1&4\end{array}\right] }{\left[\begin{array}{ccc}2&3&-4\\1&1&6\\1&-1&1\end{array}\right] }$