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Sagot :
The augmented matrix for the linear system is constructed as
[tex]\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right][/tex][tex]5\\0\\3\\[/tex]
The augmented matrix for the linear system of equation is used to represent equations in a matrix form and used to perform certain operations in the row of the given matrix.
The system of equation have 3 variables and we can represent it using a 3by3 matrix system.
The system of linear equation are
[tex]x-y-4z=5\\2x+2z=0\\4x+y+z=3[/tex]
With the equation above, we can proceed to construct the augmented matrix for this linear system
[tex]\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right][/tex]=[tex]5\\0\\3\\[/tex]
The first equation is represented in the first horizontal row, the second and third equation are represented in the second and third rows respectively.
Learn more about augmented matrix here
https://brainly.com/question/11392945
https://brainly.com/question/10921509
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