Mathematics, 14.09.2019 02:10, tjames30
use gaussian elimination on the augmented matrix, then use back substitution to find the solution of the system of linear equations.
-2x + 3y - 4z = 7
5x - y + 2z = 13
3x + 2y - z = 17
Answers: 1
![\left[\begin{array}{ccc}-2&3&-4:7\\5&-1&2:13\\3&2&-1:17\end{array}\right]](/tpl/images/0230/6272/e862a.png)
![=\ \left[\begin{array}{ccc}1&\dfrac{-3}{2}&2:\dfrac{-7}{2}\\5&-1&2:13\\3&2&-1:17\end{array}\right]](/tpl/images/0230/6272/c5ffc.png)
![=\ \left[\begin{array}{ccc}1&\dfrac{-3}{2}&2:\dfrac{-7}{2}\\0&-1+\dfrac{15}{2}&-8:13+\dfrac{35}{2}\\0&0&-7:17+\dfrac{21}{2}\end{array}\right]](/tpl/images/0230/6272/bd860.png)
![=\ \left[\begin{array}{ccc}1&\dfrac{-3}{2}&2:\dfrac{-7}{2}\\\\0&\dfrac{13}{2}&-8:\dfrac{61}{2}\\\\0&\dfrac{13}{2}&-7:\dfrac{55}{2}+\dfrac{21}{2}\end{array}\right]](/tpl/images/0230/6272/0c04f.png)
![=\ \left[\begin{array}{ccc}1&\dfrac{-3}{2}&2:\dfrac{-7}{2}\\\\0&1&\dfrac{-16}{13}:\dfrac{61}{13}\\\\0&\dfrac{13}{2}&-7:\dfrac{55}{2}\end{array}\right]](/tpl/images/0230/6272/7981f.png)
![=\ \left[\begin{array}{ccc}1&\dfrac{-3}{2}&2:\dfrac{-7}{2}\\\\0&1&\dfrac{-16}{13}:\dfrac{61}{13}\\\\0&0&1:-3\end{array}\right]](/tpl/images/0230/6272/38b39.png)
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