Consider the following set of vectors in my favorite vector space, R¹: -0000 Please do the following: • Determine if the vectors of S span R4. • Determine if the vectors of S are linearly independent or linearly dependent (LI or LD). Use your results from the previous two parts to determine if S is a basis of R¹.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Please help solve this clearly. Justify all matrixes used. If a vector turns into a matrix make sure to justify it. DONT use determinants.

Consider the following set of vectors in my favorite vector space, R¹:
--0000
Please do the following:
• Determine if the vectors of S span R4.
• Determine if the vectors of S are linearly independent or linearly dependent (LI or LD).
Use your results from the previous two parts to determine if S is a basis of R¹.
Transcribed Image Text:Consider the following set of vectors in my favorite vector space, R¹: --0000 Please do the following: • Determine if the vectors of S span R4. • Determine if the vectors of S are linearly independent or linearly dependent (LI or LD). Use your results from the previous two parts to determine if S is a basis of R¹.
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