Then, take the transpose of the cofactor matrix to obtain the adjoint matrix. How do you find the adjoint of a 3×3 matrix? For a 3×3 matrix A, find the matrix of cofactors (cofactor matrix) by calculating the cofactor of each element. What is adjoint of a 2×2 matrix? For a 2×2 matrix A = |a b| |c d| The adjoint of A is given by: adj(A) = |d -b| |-c a| Take the transpose of the matrix of cofactors to obtain the adjoint matrix.Find the matrix of cofactors by calculating the cofactor of each element of matrix A.How do I find the adjoint of a matrix? To find the adjoint of a matrix A, follow these steps: It is denoted as adj(A) or adjoint A and is typically used in finding the inverse of a square matrix. What is adjoint of a matrix? The adjoint of a matrix, also known as the adjugate or classical adjoint, is a square matrix obtained by taking the transpose of the matrix of cofactors.