Compulsory Assignment (Tuesday 15 September)
Definition 3 The multiplicative inverse of is the number with the property that
Exercise 4.1 Consider the following elements in their respective rings. Find for the following elements:
Definition 4 The negative element (additive inverse) of is the number with the property that
Exercise 4.2 Consider the following elements in their respective rings. Find for the following elements:
Exercise 4.3 Using Euclid’s Algorithm, find
Exercise 4.4 Find the multiplicative inverses of
- .
- .
Definition 5 Exponentiation is defined as the product with exactly factors.
Exercise 4.5 Write down all the powers of in in a table. How many distinct values do you get before it starts repeating itself?
Exercise 4.6 Write down all the powers of in in a table. How many distinct values do you get before it starts repeating itself?