(a) {(1,0,0), (0, 1, 1), (1,0,1)¹} (b) {(2, 1,-2)T, (3, 2, -2), (2,2,0)¹}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Decide whether or not the following are spanning sets for R³. Hint: try to expand a generic
vector (a, b, c)™ as a linear combination of the given set.
(a) {(1,0,0)7,(0, 1, 1)7, (1,0,1)7}
(b) {(2, 1, −2)T, (3, 2, −2)T, (2, 2, 0)¹}
Transcribed Image Text:2. Decide whether or not the following are spanning sets for R³. Hint: try to expand a generic vector (a, b, c)™ as a linear combination of the given set. (a) {(1,0,0)7,(0, 1, 1)7, (1,0,1)7} (b) {(2, 1, −2)T, (3, 2, −2)T, (2, 2, 0)¹}
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