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2. For each of the following sets of vectors in R³, say whether the vectors span R³. Support your answers with reasons. (a) {(1,2,3), (-1,2,3)} (b) (c) {(2,-2, 1), (0, 2, -2), (2,0,-1)} (d) {(1,2,3), (-1, 2, 3), (0, 0, 0)} {(1, 1, 1), (1, -1, -1), (-1, 1, -1), (-1,-1,1)}

2. For each of the following sets of vectors in R³, say whether the vectors span R³. Support your answers with reasons. (a) {(1,2,3), (-1,2,3)} (b) (c) {(2,-2, 1), (0, 2, -2), (2,0,-1)} (d) {(1,2,3), (-1, 2, 3), (0, 0, 0)} {(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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2. For each of the following sets of vectors in R³, say whether the vectors span R³. Support your answers with reasons. (a) {(1,2,3), (-1,2,3)} (b) (c) {(2,-2, 1), (0, 2, -2), (2,0, -1)} (d) {(1,2,3), (-1, 2, 3), (0, 0, 0)} {(1, 1, 1), (1, -1, -1), (-1, 1, 1), (-1,-1,1)}
Transcribed Image Text:2. For each of the following sets of vectors in R³, say whether the vectors span R³. Support your answers with reasons. (a) {(1,2,3), (-1,2,3)} (b) (c) {(2,-2, 1), (0, 2, -2), (2,0, -1)} (d) {(1,2,3), (-1, 2, 3), (0, 0, 0)} {(1, 1, 1), (1, -1, -1), (-1, 1, 1), (-1,-1,1)}
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