$[9]3.$ For a$)$ and b$)$ Determine if the following sets of vectors will span $R^4.$ Explain

why or why not.

$($a$)v_1=[7$;$-5$;$3$;$-7],v_2=[1$;$-3$;$10$;$7],v_3=[-5$;$4$;$-1$;$2]$ and $v_4=[8$;$-9$;$7$;$15].$

$($b$)v_1=[5$;$6$;$1$;$-9],v_2=[-7$;$-6$;$-4$;$1],v_3=[-4$;$-7$;$-9$;$11]$

and $v_4=[-7$;$1$;$-1$;$-26].$

$($c$)$ Find $2$ vectors that are NOT in the span of $u,v$ and $w$ below. Show that they are not

in the span as well.

$u=[1$;$3$;$5$;$7],v=[0$;$2$;$-4$;$8]$ and $w=[1$;$1$;$1$;$1].$ Follow these requiremnts: 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. Show me how i would do it in MATLAB.