In linear algebra, the adjugate or classical adjoint of a square matrix is the transpose of its cofactor matrix. ... The adjugate has sometimes been called the "adjoint", but today the "adjoint" of a matrix normally refers to its corresponding adjoint operator, which is its conjugate transpose.

What is the adjugate matrix used for?

Adjugate matrix is another term used to refer to the adjoint matrix in linear algebra. An adjugate matrix is especially useful in applications where an inverse matrix cannot be used directly. The adjoint of a matrix is obtained by taking the transpose of the co-factor elements of the given matrix.

What does the adjoint of a matrix represent?

The adjoint of a matrix A is the transpose of the cofactor matrix of A . It is denoted by adj A . An adjoint matrix is also called an adjugate matrix.