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kakasveta [241]

3 years ago

7

The sum of a number and its additive inverse is equal to _____.

1 answer:

prohojiy [21]3 years ago

7 0

The sum of a number and its additive inverse is equal to zero. The correct option among all the options that are given in the question is the second option or option "b". If we assume "x" to be a real number, then its additive inverse is "-x". On adding these two, we can see that the result comes to zero.

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Let F be a field, and suppose a EF, a *0. Prove that a has a unique multiplicative inverse.

bezimeni [28]

Answer with Step-by-step explanation:

Let F be a field .Suppose $a\in F$ and $a\neq 0$

We have to prove that a has unique multiplicative inverse.

Suppose a has two inverses b and c

Then, $ac=1,ab=1$ where 1 =Multiplicative identity

$ac=ab$

$c=b$ (cancel a on both sides)

Hence, a has unique multiplicative inverse.

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