Chapter 18. Introduction to Four Dimensions Linear algebra in four
... Given a 4 × 4 matrix A, let Aij be the 3 × 3 matrix obtained by deleting row i and column j from A. Form the matrix [(−1)i+j det(Aij ] whose entry in row i column j is (−1)i+j det(Aij ). Now take the transpose of this matrix and divide by det(A), and you will get the inverse of A: A−1 = ...
... Given a 4 × 4 matrix A, let Aij be the 3 × 3 matrix obtained by deleting row i and column j from A. Form the matrix [(−1)i+j det(Aij ] whose entry in row i column j is (−1)i+j det(Aij ). Now take the transpose of this matrix and divide by det(A), and you will get the inverse of A: A−1 = ...
