Identity (mathematics)

In mathematics, identity may refer to:

• Identity element, or neutral element, with respect to a binary operation, an element which leaves the other operand unchanged.
  • The identity matrix, the neutral element for matrix multiplication.
• Identity function on a set to itself which maps each element to itself.
• The identity relation (mathematics) is the relation expressing equality.
• Any equality between variables which is universally true, as opposed to an equation to be solved.

See also

• Identity

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