adjoint

IPA(Pronunciation)

/ˈæd͡ʒ.ɔɪnt/

Noun

of a matrix of an operator

Japanese Meaning

（数学）与えられた正方行列の余因子行列の転置、または転置共役（線形代数における行列の概念）

What is this buttons?

To compute the inverse of a matrix, you can use its adjoint divided by the determinant.

Google Translation / DeepL Translation

行列の逆行列を求めるには、その余因子行列の転置を行列式で割ったものを使うことができます。

Details

Sense（1）

(mathematics) The transpose of the cofactor matrix of a given square matrix.

Sense（2）

(mathematics, linear algebra, of a matrix) Transpose conjugate.

Sense（3）

(mathematics, mathematical analysis, of an operator) Hermitian conjugate.

Sense（4）

(mathematics, category theory) A functor related to another functor by an adjunction.

Sense（5）

(geometry, algebraic geometry) A curve A such that any point of a given curve C of multiplicity r has multiplicity at least r–1 on A. Sometimes the multiple points of C are required to be ordinary, and if this condition is not satisfied the term sub-adjoint is used.

Sense（6）

An assistant to someone who holds a position in the military or civil service.

. Nominated the citizens Fayolles, captain of infantry, and Favery of the Engineers to be my adjoints, and dispatched the letters of nomination to the Minister at War, so now I am fairly afloat.

Google Translation / DeepL Translation