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}.
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)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
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%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8cbea19b-f40b-443a-abef-fa0bff2dbe38%2F350667d8-1c24-40a1-a3ea-faab0389702e%2Frx0evrm_processed.jpeg&w=3840&q=75)
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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