# adjoint

[aj-oint]

- a square matrix obtained from a given square matrix and having the property that its product with the given matrix is equal to the determinant of the given matrix times the identity matrix.
- Also called Hermitian conjugate, transposed conjugate. the matrix obtained from a given matrix by interchanging rows and columns and by replacing each element by its complex conjugate.

## Origin of adjoint^{}

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## Examples from the Web for adjoint

### Historical Examples

#### As soon as she had left the room, Leigh dropped the ten louis into the adjoint's hand.

No Surrender!G. A. Henty

#### In addition to the pass, the adjoint had given Leigh a note to his cousin.

No Surrender!G. A. Henty

#### He was allowed to see his adjoint, who came to him with a troubled face.

Leaves from a Field Note-BookJ. H. Morgan

#### In 1650 Girardon was made member of the Academy, in 1659 professor, in 1674 “adjoint au recteur,” and finally in 1695 chancellor.

# adjoint

- maths
- another name for Hermitian conjugate
- a generalization in category theory of this notion

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