2000 character limit reached
Sarrus' Quilt: A Novel Way to Compute Determinants (2508.11642v1)
Published 31 Jul 2025 in math.GM
Abstract: After analyzing the 4x4 determinant of a matrix, a shortcut was obtained to find such a determinant. Similarly to the Sarrus method for 2x2 or 3x3 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 5x5 determinant which was also found. A cyclic pattern was observed for the diagonals of larger determinants when applying this method.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.