Ryser Matrix Permanent

The permanent of a square matrix is a numerical value similar to the determinant, but computed without alternating signs. For a matrix A, it is defined as the sum over all permutations of the product of the corresponding matrix entries. Ryser's formula provides a subset inclusion-exclusion method to compute the permanent more efficiently than the naive summation of all permutation products.

Experiment

Explore different matrices and see how Ryser's formula computes the permanent:

1. Open the Ryser Matrix Permanent module.
2. Select Ones in the Matrix dropdown to see the all-ones 3x3 matrix. The permanent is exactly 6 (which is 3!).
3. Select Weighted and change the Permutation to see individual selected products highlighted in the visualization.
4. Use the Step button to iterate through Ryser's formula terms and watch the accumulated sum converge to the permanent value.