The terms "adjoint" and "adjugate" are often used interchangeably in linear algebra to refer to the same concept: the transpose of the cofactor matrix of a square matrix. However, historically, "adjoint" has been used in different contexts, such as in functional analysis to denote a different concept related to linear operators. In modern usage, especially in computational tools like Sage, "adjugate" is the preferred term for the matrix operation involving cofactors.
