Use the improved algorithm for solving tri$-$diagonal set of simultaneous equations to write a MATLAB code to solve the following equations:

$3$x

$1$

$$

$+2$x

$2$

$$

$$x

$1$

$$

$+3$x

$2$

$$

$+2$x

$3$

$$

$$x

$2$

$$

$+3$x

$3$

$$

$+2$x

$4$

$$

$$x

$3$

$$

$+3$x

$4$

$$

$+2$x

$5$

$$

$$x

$4$

$$

$+3$x

$5$

$$

$$

$=8$

$=1$

$=5$

$=7$

$=6$

$$

Printout the computer program and computational results. Follow your computer program given in part $($a$),$ use hand calculations to check your computational results.