1. The linear span of a set S is the (a) largest subspace contained in S. (c) smallest subspace contained in S. (b) largest subspace containing S. (d) smallest subspace containing S.

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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Please answer number 1 and 2 thanks
1. The linear span of a set S is the
(a) largest subspace contained in S.
(c) smallest subspace contained in S.
2. The subspace
<08>
1
(a) x-2y-z = 0
(b) largest subspace containing S.
(d) smallest subspace containing S.
in R3 is a plane whose equation is
(b) 2x -y-z = 0
(c) x - y - 2z=0
(d) x-y-z = 0
Transcribed Image Text:1. The linear span of a set S is the (a) largest subspace contained in S. (c) smallest subspace contained in S. 2. The subspace <08> 1 (a) x-2y-z = 0 (b) largest subspace containing S. (d) smallest subspace containing S. in R3 is a plane whose equation is (b) 2x -y-z = 0 (c) x - y - 2z=0 (d) x-y-z = 0
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