English

A new analytical formula for the inverse of a square matrix

General Mathematics 2021-09-14 v6

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

Keywords

Cite

@article{arxiv.2106.09818,
  title  = {A new analytical formula for the inverse of a square matrix},
  author = {W Astar},
  journal= {arXiv preprint arXiv:2106.09818},
  year   = {2021}
}

Comments

Corrected a few typos throughout. Emphasized in the last section, that indices of matrix elements in an inverse expression may be treated as generalized discrete functions