a) Show that the set S = {(1, 2, 3), (0, 1, 2), (– 2, 0, 1)} spans R³. b) Determine whether the set S = {1, x², x² + 2} spans P2. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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a)
Show that the set S
{(1, 2, 3), (0, 1, 2), (– 2, 0, 1)} spans Rº.
b)
Determine whether the set S = {1, x², x² + 2} spans P2.
Transcribed Image Text:a) Show that the set S {(1, 2, 3), (0, 1, 2), (– 2, 0, 1)} spans Rº. b) Determine whether the set S = {1, x², x² + 2} spans P2.
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