Determine whether the following set of vectors in IR³: a. spans IR³ b. Is linearly independent. c. Is a basis for R³ S = {(1,2,3), (0,1,0), (-1,0, -1)}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Determine whether the following set of vectors in IR³:
a. spans R³
b. Is linearly independent.
c. Is a basis for R³
S = {(1,2,3), (0,1,0), (-1,0, -1)}
Transcribed Image Text:Determine whether the following set of vectors in IR³: a. spans R³ b. Is linearly independent. c. Is a basis for R³ S = {(1,2,3), (0,1,0), (-1,0, -1)}
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