| Definition: | in a set where an addition is defined, unique element n, if it exists, such that a + n = a for any element a Note 1 to entry: For numbers, the neutral element for addition is the number zero, denoted by 0. For vectors, the neutral element is the zero vector, denoted by 0 or →0. For matrices, the neutral element is the zero matrix. For scalar quantities of a given kind, the neutral element is a quantity of the same kind, whose numerical value is zero.
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