(a) Every vector of R² is a linear combination of the vectors (-2,3), (1, 1) and (4,1)? (b) Is every vector in IR³ linear combination of the vectors (-2, 1, 3) and (3, 2, 1)? (c) The Vector (2, –1, 2) belong to the subspace generated by vectors (3,2, -1) and (-3,0,2}?

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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(a) Every vector of R² is a linear combination of the vectors (-2,3),
(1, 1) and (4,1)?
(b) Is every vector in R³a linear combination of the vectors (-2, 1, 3) and (3, 2, 1)?
(c) The Vector (2, –1,2) belong to the subspace generated by vectors (3,2, -1) and
(-3,0,2}?
Transcribed Image Text:(a) Every vector of R² is a linear combination of the vectors (-2,3), (1, 1) and (4,1)? (b) Is every vector in R³a linear combination of the vectors (-2, 1, 3) and (3, 2, 1)? (c) The Vector (2, –1,2) belong to the subspace generated by vectors (3,2, -1) and (-3,0,2}?
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