Question

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

Matrix transformations
ANSWERED
asked 2021-02-08

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

Answers (1)

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
\(\displaystyle{\left[\begin{matrix}{1}&-{1}&{1}&{|}&{8}\\{0}&{1}&-{12}&{|}&-{15}\\{0}&{0}&{1}&{|}&{1}\end{matrix}\right]}\)

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