Question

Calcular el valor de la matriz x en las siguientes operaciones :

Answer 1

Para calcular el valor de la matriz X; se debe hacer los procedimientos siguientes:

A)       $\frac{1}{2} X - [tex] \frac{1}{2} X = \left[\begin{array}{ccc}2&4\\3&6\\-1&5\end{array}\right] + \left[\begin{array}{ccc}-1&10\\2&4\\3&1\end{array}\right]$ = \left[\begin{array}{ccc}2&4\\3&6\\-1&5\end{array}\right] [/tex]

$\frac{1}{2} X = \left[\begin{array}{ccc}1&14\\5&10\\2&6\end{array}\right] = 2 \left[\begin{array}{ccc}2&28\\10&20\\4&12\end{array}\right]$

  x = \left[\begin{array}{ccc}2&28\\10&20\\4&12\end{array}\right] 

 

B) $\frac{1}{3} X + \left[\begin{array}{ccc}2&-4\\-3&-1\\-7&10\end{array}\right] = \left[\begin{array}{ccc}2&-4\\5&-6\\-1&12\end{array}\right] \frac{1}{3} </p><p> </p><p>X = \left[\begin{array}{ccc}2&-4\\5&-6\\-1&12\end{array}\right] - \left[\begin{array}{ccc}2&-4\\-3&-1\\-7&10\end{array}\right] \frac{1}{3}</p><p> </p><p> X = \left[\begin{array}{ccc}0&0\\8&-5\\-6&2\end{array}\right] X = 3\left[\begin{array}{ccc}0&0\\8&-5\\-6&2\end{array}\right] </p><p> </p><p><strong> X = \left[\begin{array}{ccc}0&0\\24&-15\\18&6\end{array}\right]$