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For each of the following sets of vectors in R³, determine whether the vectors span R³. For those sets that do not span give a vector in R3 that is not in the span. (a) {(1,2,0), (-1,0, 2), (3, 4,-2)}, (b) {(1, 1, 1), (1, -1, -1), (-1, 1, -1), (-1,-1,1)}.

For each of the following sets of vectors in R³, determine whether the vectors span R³. For those sets that do not span give a vector in R3 that is not in the span. (a) {(1,2,0), (-1,0, 2), (3, 4,-2)}, (b) {(1, 1, 1), (1, -1, -1), (-1, 1, -1), (-1,-1,1)}.

Advanced Engineering Mathematics
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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1. For each of the following sets of vectors in R³, determine whether the vectors span R³. For those sets that do not span give a vector in R³ that is not in the span. (a) {(1,2,0), (-1, 0, 2), (3, 4,-2)}, (b) {(1, 1, 1), (1,-1, −1), (−1, 1, −1), (-1,-1,1)}.
Transcribed Image Text:1. For each of the following sets of vectors in R³, determine whether the vectors span R³. For those sets that do not span give a vector in R³ that is not in the span. (a) {(1,2,0), (-1, 0, 2), (3, 4,-2)}, (b) {(1, 1, 1), (1,-1, −1), (−1, 1, −1), (-1,-1,1)}.
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