Answer with Step-by-step explanation:
Let F be a field .Suppose and
We have to prove that a has unique multiplicative inverse.
Suppose a has two inverses b and c
Then, where 1 =Multiplicative identity
(cancel a on both sides)
Hence, a has unique multiplicative inverse.
Answer:
Option B is correct.
The property of equality that justifies the following statement is; Subtraction property.
Step-by-step explanation:
Subtraction property of equality states that you subtract the same number from both sides of an equation.
i.e, if a=b then, a-c=b -c
Given the statement:
if p =q
then, by definition of subtraction Property
Subtract r from both sides of an equation we get,
Therefore, the property of equality that justifies the following statement is; Subtraction property.