Consider the set F = {1, −1, i, −i} with an operation ✕ defined by the table. ✕ 1 −1 i −i 1 1 −1 i −i −1 −1 1 −i i i i −i −1 1 −i −i i 1 −1 a ✕ 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) −1 ✕ i (b) i ✕ i (c) −i ✕ i (d) −i ✕ 1 (e) 1 ✕ i (f) −i ✕ −i
Consider the set F = {1, −1, i, −i} with an operation ✕ defined by the table. ✕ 1 −1 i −i 1 1 −1 i −i −1 −1 1 −i i i i −i −1 1 −i −i i 1 −1 a ✕ 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) −1 ✕ i (b) i ✕ i (c) −i ✕ i (d) −i ✕ 1 (e) 1 ✕ i (f) −i ✕ −i
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Question
Consider the set
F = {1, −1, i, −i}
with an operation ✕ defined by the table.
| ✕ | 1 | −1 | i |
−i
|
| 1 | 1 | −1 | i |
−i
|
| −1 | −1 | 1 |
−i
|
i |
| i | i |
−i
|
−1 | 1 |
|
−i
|
−i
|
i | 1 | −1 |
a ✕ 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) −1 ✕ i
(b) i ✕ i
(c) −i ✕ i
(d) −i ✕ 1
(e) 1 ✕ i
(f) −i ✕ −i
(b) i ✕ i
(c) −i ✕ i
(d) −i ✕ 1
(e) 1 ✕ i
(f) −i ✕ −i
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