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}.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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}.
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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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