Consider the set F and the operation of from Problem 34. Is the set F closed

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Consider the set F and the operation of × from Problem 34. Is the set F closed for the operation of × ? Give reasons for your answer.

Data from Problem 34

Consider the set with an operation 1 -1 1 -1 X 1 -1 F (1,-1, i, -i} = X defined by the table. i-i i -i 1 -i -1 i -i-1 1 -i i

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Nature Of Mathematics

ISBN: 9781133947257

13th Edition

Authors: Karl J. Smith

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Question Posted: Jan 13, 2024 09:01 AM

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Consider the set F and the operation of from Problem 34. Is the set F closed

Question:

with an operation 1 -1 1 -1 X 1 -1 F (1,1, i, i} = X defined by the table. i-i i -i 1 -i i -1 i -i-1 1 -i i 1-1 a x b means find the entry in row a and column b; for example, -1 (-i) i (the entry in row -1 and column -i). Find each of the following. a. -1Xi c. -ixi e. 1 x i b. ixi d. -ix 1 f. -ix-i

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Nature Of Mathematics

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