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).
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).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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