A Frobenius matrix or atomic triangular matrix is a square matrix with the following properties:
- All entries on the main diagonal are ones
- The matrix only has one column where some entries below the main diagonal can be non-zero
- Al other entries outside the main diagonal equal zero
Example:

Inverse of a Frobenius matrix
If is a Frobenius matrix, then its inverse is also a Frobenius matrix, where the corersponding nonzero entries outside the main diagonal have opposite signs.
