Question 1 (Subspaces) For (a) and (b), show that these sets are subspaces of IR¹. (a) {(a,b,c): 4a=36} (b) {(x,y-1,2):+y-2:=1}. For (e) and (d), show that these sets are subspaces of M₂ (R). (c) 1 {[: a+b=e=d=0}.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 56E: Give an example showing that the union of two subspaces of a vector space V is not necessarily a...
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Question 1 (Subspaces)
For (a) and (b), show that these sets are subspaces of R³.
(a) {(a,b,c): 4a3b}
(b) {(x,y-1,2): x+y=2z=1}.
For (c) and (d), show that these sets are subspaces of M₂(R).
(c)
{ ["]=6=0}
b=
(d)
0₂ {[ ] = a +b=e=d=0}.
86%
Transcribed Image Text:ا... ال... " 15:32 Question 1 (Subspaces) For (a) and (b), show that these sets are subspaces of R³. (a) {(a,b,c): 4a3b} (b) {(x,y-1,2): x+y=2z=1}. For (c) and (d), show that these sets are subspaces of M₂(R). (c) { ["]=6=0} b= (d) 0₂ {[ ] = a +b=e=d=0}. 86%
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