Question

# Write an augumented matrix for the system of linear equations[[x-y+z=8],[y-12z=-15],[z=1]]

Matrix transformations

Write an augumented matrix for the system of linear equations
$$\displaystyle{\left[\begin{matrix}{x}-{y}+{z}={8}\\{y}-{12}{z}=-{15}\\{z}={1}\end{matrix}\right]}$$

2021-02-09

The given system of linear equations can be written as shown below:
$$x-y+z=8$$
$$0x+y-12z=-15$$
$$0x+0y+z=1$$
Thus the augmented matrix could be written as
$$\displaystyle{\left[\begin{matrix}{1}&-{1}&{1}&{|}&{8}\\{0}&{1}&-{12}&{|}&-{15}\\{0}&{0}&{1}&{|}&{1}\end{matrix}\right]}$$