In a 2 × 2 2 \times 2 2 × 2 matrix, the calculation of the adjoint matrix can be simplified into two intuitive steps, which are easy to grasp and visualize. Matrix of minors: For each element a i j a_ ( − 1 ) i + j to obtain the matrix of cofactors.Īdjoint matrix: Take the transpose of the matrix of cofactors to obtain the adjoint matrix.Īdjoint of a 2 × 2 2 \times 2 2 × 2 matrix To compute the adjoint of a matrix A A A, follow these steps: In simpler terms, the adjoint matrix is formed by replacing each element of A A A with its corresponding cofactor and then transposing the resulting matrix. The adjoint of a square matrix A A A, denoted as adj(A) or adjugate(A), is obtained by taking the transpose of the matrix of cofactors of A A A.
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