2. Determine whether the vectors span the vector space. Explain your answers. (a) The vectors u = (1,3) and v = (3, 12) in R². (b) The vectors vị = (1,1,1), v2 = (0,0,2), and v3 = (0,0, –1) in R³.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Determine whether the vectors span the vector space. Explain your answers.
(a) The vectors u =
(b) The vectors vị = (1,1,1), v2 = (0,0,2), and v3 = (0,0,–1) in R³.
(1,3) and v = (3, 12) in R².
%3D
Transcribed Image Text:2. Determine whether the vectors span the vector space. Explain your answers. (a) The vectors u = (b) The vectors vị = (1,1,1), v2 = (0,0,2), and v3 = (0,0,–1) in R³. (1,3) and v = (3, 12) in R². %3D
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