Consider the system of equations
$$\begin{aligned}
x+3 y+z & =3 \
2 x+7 y & =16 \
-3 x-7 y-6 z & =7
\end{aligned}$$
(a) Write the matrix of coefficients $A$, the matrix of variables $X$, and the matrix of constants $B$ for this system.
(b) Find $A^{-1}$.
(c) Use the matrix inverse method to solve the system.
(d) If the matrix of constants $B$ is replaced by the matrix $\left[\begin{array}{l}0 \ 0 \ 0\end{array}\right]$, find the solution to $A X=B$.

Question

Quizplus · Accepted Answer

The Answer of Consider the system of equations
$$\begin{aligned}
x+3 y+z & =3 \
2 x+7 y & =16 \
-3 x-7 y-6 z & =7
\end{aligned}$$
(a) Write the matrix of coefficients $A$, the matrix of variables $X$, and the matrix of constants $B$ for this system.
(b) Find $A^{-1}$.
(c) Use the matrix inverse method to solve the system.
(d) If the matrix of constants $B$ is replaced by the matrix $\left[\begin{array}{l}0 \ 0 \ 0\end{array}\right]$, find the solution to $A X=B$.

Consider the System of Equations x+3y+z=32x+7y=16−3x−7y−6z=7\begin{aligned}x+3 y+z & =3 \\2 x+7 y & =16 \\-3 x-7 y-6 z & =7\end{aligned}x+3y+z2x+7y−3x−7y−6z​=3=16=7​

Consider the System of Equations $\begin{aligned}x+3 y+z & =3 \\2 x+7 y & =16 \\-3 x-7 y-6 z & =7\end{aligned}$