kids encyclopedia robot

Inverse element facts for kids

Kids Encyclopedia Facts

The inverse element is the opposite of a number or equation. The inverses of x in addition is -x (called the additive inverse), and \tfrac{1}{x} or x^{-1} in multiplication (called the multiplicative inverse, or reciprocal).

In general, given an element g in a group S equipped with an operation \circ, an inverse element of g is an element g* such that g \circ g^* and g^* \circ g are both equal to the identity element (of the group). Other examples of inverse include inverse function and matrix inverse.

Related pages

  • Field (mathematics), a set equipped with additive inverses and multiplicative inverses (except for zero)
kids search engine
Inverse element Facts for Kids. Kiddle Encyclopedia.