2. Which of the following maps is an isomorphism/ a monomorphism/ an epimorphism: (a). : (Sn, 0)→ (Z2, +) defined by 1, if odd; 4(0) = = 0, if o even. (b). : (R\{0},.) → ({-1, 1},) defined by if x > 0; 4(x) -1, if x < 0.
2. Which of the following maps is an isomorphism/ a monomorphism/ an epimorphism: (a). : (Sn, 0)→ (Z2, +) defined by 1, if odd; 4(0) = = 0, if o even. (b). : (R\{0},.) → ({-1, 1},) defined by if x > 0; 4(x) -1, if x < 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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Transcribed Image Text:2. Which of the following maps is an isomorphism/ a monomorphism/
an epimorphism:
(a). : (Sn, 0)→ (Z2, +) defined by
1, if o odd;
4(0) =
=
0, if o even.
(b). : (R\{0},.) → ({-1,1},)
defined by
if x > 0;
4(x)
-1, if x < 0.
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