Mathematics, 14.09.2019 10:30 Dweath50
use the augmented matrix method to solve the following system of equations. your answers may be given as decimals or fractions.
x - 2y - z = 2
x + 3y - 2z = 4
-x + 2y + 3z = 2
x =
y =
z =
Answers: 1
![\left[\begin{array}{ccc}1&-2&-1:2\\1&3&-2:4\\-1&2&3:2\end{array}\right]](/tpl/images/0231/2966/2fbb6.png)
![=\ \left[\begin{array}{ccc}1&-2&-1:2\\0&5&-1:2\\0&0&2:4\end{array}\right]](/tpl/images/0231/2966/30f8b.png)
![=\ \left[\begin{array}{ccc}1&-2&-1:2\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\0&0&2:4\end{array}\right]](/tpl/images/0231/2966/cd300.png)
![=\ \left[\begin{array}{ccc}1&0&-1-\dfrac{2}{5}:2+\dfrac{4}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&2:4\end{array}\right]](/tpl/images/0231/2966/c3021.png)
![=\ \left[\begin{array}{ccc}1&0&\dfrac{-7}{5}:\dfrac{14}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&2:4\end{array}\right]](/tpl/images/0231/2966/ec132.png)
![=\ \left[\begin{array}{ccc}1&0&\dfrac{-7}{5}:\dfrac{14}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&1:2\end{array}\right]](/tpl/images/0231/2966/35af3.png)
![=\ \left[\begin{array}{ccc}1&0&0:\dfrac{14}{5}+\dfrac{7}{5}\\\\0&1&0:\dfrac{2}{5}+\dfrac{1}{5}\\\\0&0&1:2\end{array}\right]](/tpl/images/0231/2966/f2783.png)
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use the augmented matrix method to solve the following system of equations. your answers may be give...
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