The additive inverse of the mentioned complex number is -13 + 2i.
The additive inverse of any number is defined as the number, which on addition to the original number, gives the sum zero. In order to make possible this situation, the additive inverse will have opposite signs for each value.
In the question, 13 has positive sign and 2i has negative sign. To cancel them out, the additive inverse will be 13 with negative sign and 2i with positive sign. Thus, third option is correct additive inverse.
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The complete question is -
what is the additive inverse of the complex number 13 - 2i?
-13 - 2i
-13 + 2i
13 - 2i
13 + 2i