Practice Examples Of Characteristic Of A Field (24.3.1)

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6 sample questions

Question 1.
What is the additive identity of a field?
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Think about what number does not affect others when added.
Question 2.
What is the multiplicative identity of a field?
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Think about what number does not affect others when multiplied.
3Question 3.
What is the characteristic of the field ₄?
- 2
- 3
- 4
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Look for the prime base.
4Question 4.
True or false: The characteristic of any finite field can be a composite number.
- True
- False
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Think about the definition of characteristic.
Question 5.
Construct a finite field with 10 elements and find its characteristic.
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Consider the base component of your field.
Question 6.
Explain why a field cannot have a characteristic of 6.
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Trace back to the prime characteristics.

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