Let Sa be the set of all one-one and onto mappings on {1,2,3} and Z, = (0, 1,2,3, 4}. Then, show that (Zs, O,), (S3,o) are group and find the identity and inverse elements. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5.
Let S3 be the set of all one-one and onto mappings on {1,2,3} and
Z, = (0,1, 2,3, 4}. Then, show that (Zs, O,), (S3, o) are group and find
the identity and inverse elements.
OYS
2. 2
33
10
12
P3
C
+
く*
Transcribed Image Text:5. Let S3 be the set of all one-one and onto mappings on {1,2,3} and Z, = (0,1, 2,3, 4}. Then, show that (Zs, O,), (S3, o) are group and find the identity and inverse elements. OYS 2. 2 33 10 12 P3 C + く*
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