Question
Under the operation "*", complete the following table to obtain a semigroup:
| * | a | b | c |
|---|---|---|---|
| a | c | a | b |
| b | ... | ... | c |
| c | b | c | a |
Under the operation "*", complete the following table to obtain a semigroup:
| * | a | b | c |
|---|---|---|---|
| a | c | a | b |
| b | ... | ... | c |
| c | b | c | a |
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2.2 Exercise 2.2
Apply matrix operations (addition / subtraction and multiplication of matrices) with real and complex entries.
Apply the principle of Mathematical Induction to prove statements, identities, divisibility of numbers and summation formulae.