Inverse element

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The inverse element is the opposite of a number or equation. The inverses of in addition is (called the additive inverse), and or in multiplication (called the multiplicative inverse, or reciprocal).[1][2]

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

Related pages[change | change source]

  • Field (mathematics), a set equipped with additive inverses and multiplicative inverses (except for zero)

References[change | change source]

  1. "Compendium of Mathematical Symbols". Math Vault. 2020-03-01. Retrieved 2020-09-08.
  2. "Reciprocal". www.mathsisfun.com. Retrieved 2020-09-08.