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Meaning of Determinnt

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  • A determining factor; an element that determines the nature of something
  • (linearalg) The unique scalar function over square matrices which is distributive over matrix multiplication, multilinear in the rows and columns, and takes the value of 1 for the unit matrix.

  • determining factor
  • (math) determinant

  • (math) determinant
- The Nuttall Encyclopedia

De*ter"mi*nant (?), a. [L. determinans, p. pr. of determinare: cf. F. déterminant.] Serving to determine or limit; determinative.

De*ter"mi*nant, n. 1. That which serves to determine; that which causes determination.

2. (Math.) The sum of a series of products of several numbers, these products being formed according to certain specified laws; thus, the determinant of the nine numbers
a, b, c,a′, b′, c′,a′′, b′′, c′′,
is a b′ c′′ - a b′′ c′ + a′ b′′ c] - a′ b c′′ + a′′ b′ c. The determinant is written by placing the numbers from which it is formed in a square between two vertical lines. The theory of determinants forms a very important branch of modern mathematics.

3. (Logic) A mark or attribute, attached to the subject or predicate, narrowing the extent of both, but rendering them more definite and precise. Abp. Thomson.

- Webster's Unabridged Dictionary (1913)

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