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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.11642 |
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| _version_ | 1866909738360373248 |
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| author | Garcia, Jorge Torres, Jasmine Crawford, Thomas Obrien, Miles Bonilla, Alexander D. |
| author_facet | Garcia, Jorge Torres, Jasmine Crawford, Thomas Obrien, Miles Bonilla, Alexander D. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11642 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sarrus' Quilt: A Novel Way to Compute Determinants Garcia, Jorge Torres, Jasmine Crawford, Thomas Obrien, Miles Bonilla, Alexander D. General Mathematics 15A15 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. |
| title | Sarrus' Quilt: A Novel Way to Compute Determinants |
| topic | General Mathematics 15A15 |
| url | https://arxiv.org/abs/2508.11642 |