Note: All the questions must be done using Matlab that specify Matlab. The last $3$ questions

should be done by hand. Please submit your $.$m file electronically onto our class's Canvas site.

Please make sure your name is part of the file name along with Project $1.$ Do not forget to put

your comments in your $.$m file using $\%$ sign. $\%\%$ should be used to separate the questions.

Your comments as to why you are doing things are an important part of the evaluation of

the project.

The last $3$ problems should be worked out neatly and with explanations and changed into a pdf

file $($again please include your name in the file name & project name and then upload this to

Canvas. Remember a project for class is like a presentation you are giving your boss. It should

be your best work.

$10\%$ will be subtracted for each calendar day a project is late. After $3$ calendar days you may not

submit the project. Remember a project for class is like a presentation you are giving your boss.

It should be your best work.

$[8]1.$ Solve the system. Use the command "format rat" to get rational results. Tell

whether the system has a unique solution, many solutions or no solutions and why.

$3x_2+2x_3-x_4-x_5+12x_6=-3$

$2x_1-4x_3+x_4-x_5=-7$

$-7x_1+3x_4-2x_5-2x_6=1$

$4x_3-5x_4+12x_5-18x_6=-8$

$[8]2.$ Solve the homogeneous system. Tell whether the system has a unique solution,

many solutions or no solutions and why.

$-3x_1+x_2+3x_3-x_4=0$

$5x_1+3x_2-2x_3+x_4=0$

$3x_1-x_2+2x_3+x_4=0$

$-5x_1-3x_2+5x_3-x_4=0.$ Show me the solution of it in MATLAB following the requiremnets.