3. Consider the following subset SCR' 2 S = -10 (a) Is span(S) = R*? Explain your reasoning and show work to justify your answer. (b) Determine if S is linearly dependent or independent. Explain why....

Extracted text: 3. Consider the following subset SCR' 2 S = -10 (a) Is span(S) = R*? Explain your reasoning and show work to justify your answer. (b) Determine if S is linearly dependent or independent. Explain why. -2 (c) i. If possible, write as a linear combination of vectors in S. ii. Is this linear combination unique? Why or why not, explain your reasoning. (d) Find two vectors u, v € R', if possible, such that u ¢ span(S) but v € span(S). Justify your answer.