In linear algebra, it refers to the conjugate transpose and is most commonly denoted A(H). 'An Empty Exercise.' ACM SIGNUM Newsletter, Vol. The word adjoint has a number of related meanings. However, it can always be accessed through the long form of the command by using LinearAlgebra(.). This function is part of the LinearAlgebra package, and so it can be used in the form Adjoint(.) only after executing the command with(LinearAlgebra). If a constructor option is provided in both the calling sequence directly and in an outputoptions option, the latter takes precedence (regardless of the order). These options may also be provided in the form outputoptions=, where represents a Maple list. Hermitian adjoint (adjoint of a linear operator) in functional analysis. The adjoint of a matrix is found by interchanging the rows and columns of the cofactor elements in the original matrix. Specifically, adjoint or adjunction may mean: Adjoint of a linear map, also called its transpose in case of matrices. The adjugate matrix is really helpful when we can't use the inverse matrix directly in certain situations.

The constructor options provide additional information (readonly, shape, storage, order, datatype, and attributes) to the Matrix constructor that builds the result. The adjoint of a matrix is a simple way to find the inverse of a matrix.It is also referred to as the adjugate matrix. This is known as the 'adjugate', 'adjunct' or classical adjoint of A. The Adjoint(A) function constructs Matrix M such that A (optional) constructor options for the result object The best method for computing the adjoint matrix of an order n matrix in an arbitrary commutative ring requires O operations, provided that the complexity.

What is the adjoint of a matrix