Question

Write the augmented matrix corresponding to the system of

equations:

$\left\{\begin{array}{l}4x-5y+z=0\\ -2x-y+6=-19\\ x+5y-5z=10\end{array}\right.$

Short answer

The augmented matrix will be as:

$\left|\begin{array}{cccc}4& -5& 1& 0\\ -2& -1& 6& -19\\ 1& 5& -5& 10\end{array}\right|$

Step-by-step solution

Step 1. Given

Given

$\left\{\begin{array}{l}4x-5y+z=0\\ -2x-y+6=-19\\ x+5y-5z=10\end{array}\right.$

Step 2. Calculation

In an augmented matrix all part of varies are written on left side and constant on right side.

$\left|\begin{array}{cccc}4& -5& 1& 0\\ -2& -1& 6& -19\\ 1& 5& -5& 10\end{array}\right|$