Let G = Z and H=3Z. Decide whether or not the following cosets of H a written in additive notation). (a) 11+ H and 17+ H. (b) 1+ H and 5 + H. (c) 7+H and 23 + H.
Let G = Z and H=3Z. Decide whether or not the following cosets of H a written in additive notation). (a) 11+ H and 17+ H. (b) 1+ H and 5 + H. (c) 7+H and 23 + H.
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:Let G = Z and H=3Z. Decide whether or not the following cosets of H are the same (the cosets are
written in additive notation).
(a) 11+ H and 17 + H.
(b) −1+ H and 5 + H.
(c) 7+ H and 23 + H.
(d) 100+ H and 703 + H.
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