Adjoint matrix

The adjoint matrix is defined as the transpose of the cofactor matrix. Given a matrix A of dimensions $n\times n$, the cofactor matrix $C$ is the matrix whose $(i,j)$ entry is the $(i,j)$ cofactor of A: $C_{ij}=(-1{)}^{i+j}{M}_{ij}$, where $M_{ij}$ denotes the $(i,j)$ minor of A. Thus, the adjoint matrix of $A$ is $adj\left(A\right)=C^T$.

adjoint_matrix(Matrix)

Description

Given a matrix, computes its adjoint matrix.