Solution:
We need to find: 
The given set of lines are : –
Now converting the following equations in matrix form,
![\begin{array}{l} \mathrm{AX}=\mathrm{B} \\ {\left[\begin{array}{ccc} 1 & -2 & 1 \\ 0 & 1 & -1 \\ 2 & 0 & -3 \end{array}\right]\left[\begin{array}{l} x \\ y \\ z \end{array}\right]=\left[\begin{array}{c} 0 \\ 2 \\ 10 \end{array}\right]} \\ \mathrm{R}_{3}-2 \mathrm{R}_{1} \\ {\left[\begin{array}{ccc} 1 & -2 & 1 \\ 0 & 1 & -1 \\ 0 & 4 & -5 \end{array}\right]\left[\begin{array}{l} x \\ y \\ z \end{array}\right]=\left[\begin{array}{c} 0 \\ 2 \\ 10 \end{array}\right]} \\ \mathrm{R}_{3}-4 \mathrm{R}_{2} \\ {\left[\begin{array}{ccc} 1 & -2 & 1 \\ 0 & 1 & -1 \\ 0 & 0 & -1 \end{array}\right]\left[\begin{array}{l} x \\ y \\ z \end{array}\right]=\left[\begin{array}{l} 0 \\ 2 \\ 2 \end{array}\right]} \end{array}](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-acd737bd665d23efbf97d736fd698f7d_l3.png "Rendered by QuickLaTeX.com")
Again on converting back into equations we get
Solve each of the following systems of equations using matrix method.
