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Determinant vs Inverse - What's the difference?

determinant | inverse |

As verbs the difference between determinant and inverse

is that determinant is while inverse is .

As adjectives the difference between determinant and inverse

is that determinant is determinant while inverse is inverted.

As a noun determinant

is (label) determiner.

determinant

English

Noun

(wikipedia determinant) (en noun)
  • A determining factor; an element that determines the nature of something
  • (linear algebra) 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. Abbreviation: det
  • (biology) A substance that causes a cell to adopt a particular fate.

    • See also

    * permanent * singular * Mathworld article on determinants

    Adjective

    (en adjective)
  • Serving to determine or limit; determinative.

    • Anagrams

    * ----

    inverse

    English

    Adjective

    (-)
  • Opposite in effect or nature or order
  • reverse, opposite in order
  • (botany) Inverted; having a position or mode of attachment the reverse of that which is usual.
  • (mathematics) Having the properties of an inverse; said with reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity.
    • Multiplication is the inverse operation to division.
  • (linguistics, Kiowa-Tanoan) A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.
  • (category theory) A morphism which is both a left inverse and a right inverse.

    • Derived terms

    * inverse function * inversely

    Related terms

    * inversion * inversive * reverse

    Noun

    (en noun)
  • The opposite of a given, due to contrary nature or effect.
  • :: ''Deposing is the inverse of installing, and vice versa
  • The reverse version of a procedure.
    • Removing one's shoes is the inverse of putting one's shoes on
  • (mathematics) The inverse of an element x'' with respect to a binary operation is an element that when combined with ''x yields the appropriate identity element.
    • The additive inverse of x is -x as, x + -x = 0 where 0 is the additive identity element.
    The multiplicative inverse of x is x-1 as, x * x-1 = 1 where 1 is the multiplicative identity element.
    ''The compositional inverse of a function f is f–1 as, f f–1 is the identity function (ie f–1(f(a)) = a for all a).
  • (logic) A statement constructed from the negatives of the premise and conclusion of some other statement: ~p ? ~q is the inverse of p ? q.

    • Verb

    (invers)
  • (surveying) To compute the bearing and distance between two points.

    • Antonyms

    * compute (a point).

    Anagrams

    * ----