Provided the steps and the code using MATLAB

Use MATLAB to solve:

$15$C$13$C$2$ C$3=6700$

$-3$C$1+18$C$26$C$3=37200$

$-4$C$1$ C$2+12$C$3=3100$

Define A and B and use the inverse to solve for x$,$ y$,$ z$.$ In particular show:

$($i$)$ The answer to inv$($A$)*$B

$($ii$)$ The answer to B$*$inv$($A$)$

$($iii$)$ Explain why only $($i$)$ worked

$($iv$)$ Now calculate the answer using A$\backslash$B $($this uses the Gaussian elimination to solve the linear system$)$

$($v$)$ Show the error of both methods $($i and iv$)$ by calculating A$*$ans$-$B where $$ans$$ is the answer to i or iv$.$ Which method produces smaller error? Explain the reason for the difference in error