Computational Procedures for the Calculation of the Inverse Matrix

Author

Vernon J. Kisner, Fort Hays Kansas State College

Department

Math

Degree Name

Master of Arts (MA)

Abstract

With the invention of matrices came, of course, the solution of a system of the equations by the method of matrix inversion. Many important problems in applied mathematics involve finding the inverse of a square, nonsingular matrix. It is usually the inversion of this matrix which consumes the major portion of the time spent in solving the problem. Several methods have been devised to accomplish this. All of these methods entail considerable work if the matrix is of order higher than the third. The object of this thesis is to study and investigate some of the more common methods of finding the inverse of a matrix and endeavor to illustrate by examples the best method when given a particular matrix.

Keywords

Linear dependence (Mathematics), Algebra, Matrix theory, Solutions, Variables (Mathematics), Partitions

Advisor

Dr. Wilmont Toalson

Date of Award

Spring 1962

Document Type

Thesis - campus only access

DOI

10.58809/FNXD1367

Recommended Citation

Kisner, Vernon J., "Computational Procedures for the Calculation of the Inverse Matrix" (1962). Master's Theses. 740.
DOI: 10.58809/FNXD1367
Available at: https://scholars.fhsu.edu/theses/740

Rights

© The Author(s)

Comments

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