A new analytical formula for the inverse of a square matrix
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TL;DR
This paper introduces a new analytical formula for computing the inverse of invertible square matrices, starting with 3x3 matrices and extending to larger sizes, validated through Matlab experiments.
Contribution
It presents a novel telescoping-based analytical formula for matrix inversion applicable to larger matrices, expanding on existing methods.
Findings
Formula verified with randomly generated matrices
Applicable to matrices larger than 3x3
Potentially simplifies matrix inversion computations
Abstract
A concise analytical formula is developed for the inverse of an invertible 3 x 3 matrix using a telescoping method, and is generalized to larger square matrices. The formula is confirmed using randomly generated matrices in Matlab
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Taxonomy
TopicsMatrix Theory and Algorithms · Liquid Crystal Research Advancements · Mathematics and Applications