Form (a) the coefficient matrix and (b) the augmented matrix for the system of linear equations. displaystyle{leftlbracebegin{matrix}{x}+{y}={0}{5}{x}-{2}{y}-{2}{z}={12}{2}{x}+{4}{y}+{z}={5}end{matrix}right.}

tabita57i 2021-03-04 Answered
Form (a) the coefficient matrix and (b) the augmented matrix for the system of linear equations.
{x+y=05x2y2z=122x+4y+z=5
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Expert Answer

Cristiano Sears
Answered 2021-03-05 Author has 96 answers
For a system of equations {ax+by+cz=jdx+ey+fz=kgx+hy+iz=l
, the coefficient matrix is [abcdefghi] and the augmented matrix is [abc|jdef|kghi|l]
a) For the system {x+y=05x2y2z=122x+4y+z=5
a=1 , b=1 , c=0,d=5,e=-2, f=-2, g=2 , h=4 and i=1 so the coefficient matrix is [510522241]
b) For the system {x+y=05x2y2z=122x+4y+z=5
a=1 , b=1 , c=0,d=5,e=-2, f=-2, g=2 , h=4 , i=1 , j=0 , k=12 and l=5 so the augmented matrix is [510|0522|12241|5]
Answer
a) [510522241]
b) [510|0522|12241|5]
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