3. Consider the following subset SCR S = -10 8 (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. -1 (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 g span(S) but v € span(S).

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.