Finding the inverse of a matrix, especially large ones, is a computationally heavy procedure. Given are two methods for computing the same (assuming the given matrix A is invertible):

1. LU Decomposition: Decompose A into L and U. Obtain A-1 as the product of U-1, L-1 and the permutation matrix. The time complexity of this process is of the order O(n3).
2. Adjoint method: Compute the Cofactor matrix and transpose it to form the Adjoint matrix. Dividing the adjoint matrix by the determinant of A gives A-1. The time complexity of this process is of the order O(n!).

For sufficiently large n, which of the following is the higher time complexity?

Finding the inverse of a matrix, especially large ones, is a computationally heavy procedure. Given are two methods for computing the same (assuming the given matrix A is invertible):

1. LU Decomposition: Decompose A into L and U. Obtain A-1 as the product of U-1, L-1 and the permutation matrix. The time complexity of this process is of the order O(n3).
2. Adjoint method: Compute the Cofactor matrix and transpose it to form the Adjoint matrix. Dividing the adjoint matrix by the determinant of A gives A-1. The time complexity of this process is of the order O(n!).

Based on this, which of the above methods is more efficient for computation?