Consider the system of equations
$x+2 y-3 z=8$
$2 x+5 y-11 z=18$
$3 x+7 y-13 z=24$
(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

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The Answer of Consider the system of equations
$x+2 y-3 z=8$
$2 x+5 y-11 z=18$
$3 x+7 y-13 z=24$
(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+2y−3z=8x+2 y-3 z=8x+2y−3z=8 2x+5y−11z=182 x+5 y-11 z=182x+5y−11z=18

Consider the System of Equations $x+2 y-3 z=8$ $2 x+5 y-11 z=18$