Let v$=$ R$^4$ and let

W$=$

Example; Let $V=R^4$ and

$w=\{\left[\begin{array}{c}{a}_1\\ a_2\\ a_3\\ a_4\end{array}\right]in{R}^4$;$a_2-a_1=a_4-a_3\}$

a$)$ Show that $W$ is a subspace of $V.$

b$)$ Find a spanning set tilde$(s)$ for $.$

c$)$ cheek if widetilde$(S)$ is linearly indipendent.