Solution:
We need to find: 
The given set of lines are:
Now, converting the following equations in matrix form,
![\begin{array}{l} A X=B \\ {\left[\begin{array}{ccc} 4 & -5 & -11 \\ 1 & -3 & 1 \\ 2 & 3 & -7 \end{array}\right]\left[\begin{array}{l} x \\ y \\ z \end{array}\right]=\left[\begin{array}{c} 12 \\ 1 \\ 2 \end{array}\right]} \\ 4 R_{2}-R_{1} \\ 2 R_{3}-R_{1} \\ {\left[\begin{array}{ccc} 4 & -5 & -11 \\ 0 & -7 & 15 \\ 0 & 11 & -3 \end{array}\right]\left[\begin{array}{l} x \\ y \\ z \end{array}\right]=\left[\begin{array}{c} 12 \\ -8 \\ -8 \end{array}\right]} \\ 5 R_{3}+R_{2} \\ {\left[\begin{array}{ccc} 4 & -5 & -11 \\ 0 & -7 & 15 \\ 0 & 48 & 0 \end{array}\right]\left[\begin{array}{l} x \\ y \\ z \end{array}\right]=\left[\begin{array}{c} 12 \\ -8 \\ -48 \end{array}\right]} \end{array}](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-b4a06a870f9ae3e7f4fbe008752a0a3f_l3.png "Rendered by QuickLaTeX.com")
Again on converting back into equations we obtain
Solve each of the following systems of equations using matrix method.
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; ; .Solve each of the following systems of equations using matrix method.
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