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1. Determine whether the given subset SCR² is a subspace of R? or not. (If so, prove it. If not, give reasons why.) (a) S = {(x, y)ʻ |e and y are both rational numbers. } (b) S = {x € R? | x - p = 3} where p = (7, 3)". %3D

1. Determine whether the given subset SCR² is a subspace of R? or not. (If so, prove it. If not, give reasons why.) (a) S = {(x, y)ʻ |e and y are both rational numbers. } (b) S = {x € R? | x - p = 3} where p = (7, 3)". %3D

Advanced Engineering Mathematics
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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1. Determine whether the given subset SCR² is a subspace of R? or not. (If so, prove it. If not, give reasons why.) (a) S = {(x, y)ʻ |e and y are both rational numbers. } (b) S = {x € R? | x - p = 3} where p = (7, 3)".
Transcribed Image Text:1. Determine whether the given subset SCR² is a subspace of R? or not. (If so, prove it. If not, give reasons why.) (a) S = {(x, y)ʻ |e and y are both rational numbers. } (b) S = {x € R? | x - p = 3} where p = (7, 3)".
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