Sarrus’ Quilt: A Novel Way to Compute Determinants

Kavli Affiliate: Thomas Crawford
| First 5 Authors: Jorge Garcia, Jorge Garcia, , ,

| Summary:
After analyzing the 4×4 determinant of a matrix, a shortcut was obtained to find such a determinant. Similarly to the Sarrus method for 2×2 or 3×3 determinants, the method consists of laying 19 columns of size 4 each and adding and subtracting some diagonal multiplications. There is a symmetry in the arrangement of these columns. A very symmetric pattern emerged for the 5×5 determinant which was also found. A cyclic pattern was observed for the diagonals of larger determinants when applying this method.
| Search Query: arXiv Query: search_query=au:”Crawford Thomas”&id_list=&start=0&max_results=3
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