The common-submatrix Laplace expansion
Commutative Algebra
2015-05-21 v1
Abstract
We state and prove a classical version of the Laplace expansion theorem where all submatrices in the expansion are restricted to contain a specified common submatrix (CSM). The result states that (accounting for signs) this restricted expansion equals the determinant of the original matrix times the determinant of the CSM.
Keywords
Cite
@article{arxiv.1505.05486,
title = {The common-submatrix Laplace expansion},
author = {S. Gill Williamson},
journal= {arXiv preprint arXiv:1505.05486},
year = {2015}
}