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An identity function is an algebraic law that defines when the output of the function is equal to the input.

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Linear Algebra

identity function.

For any domain D: each domain element d map to itself:

<math>id_D : D \rightarrow D</math>

Example

Addition (+) <MATH> x+0 = x </MATH>

Division: (/) <MATH> \frac{x}{1} = x </MATH>