Additive Inverse

In an additive group , the additive inverse of an element is the element such that , where 0 is the additive identity of . Usually, the additive inverse of is denoted , as in the additive group of integers , of rationals , of real numbers , and of complex numbers , where The same notation with the minus sign is used to denote the additive inverse of a vector,

(1)

of a polynomial,

(2)

of a matrix

(3)

and, in general, of any element in an abstract vector space or a module.