Question $4$: Given the system of equations

$-x+2y+z=2$

$y-2z=-3$

$x+4y-z=4$

a$)$ write them in matrix form that is $Ax=b.$

b$)$ solve the unknown vector x from $x=A^{-1}b.$ For this you have to first determine $A^{-1}.$

c$)$ verify your result so that $Ax$ gives $b.$

d$)$ solve the unknown vector x by using the $""$ operator in MATLAB, that is by using the

command.

$=\frac{A}{\frac{?}{?}}b$

Please note that, MATLAB uses Gauss elimination methods when $"\frac{\frac{?}{?}}{?}"$ operator is used.

please use matlab and take pic of the command window