Document Type
Thesis
Date of Degree Completion
Summer 1972
Degree Name
Master of Science (MS)
Department
Mathematics
Committee Chair
William B. Owen
Second Committee Member
David R. Anderson
Third Committee Member
Ken 0. Gamon
Abstract
In the theory of linear statistical models, one frequently encounters consistent systems of linear equations Ax= y. If A is nonsingular then a unique solution is given by x - 1 A y. If A is singular or rectangular however, then there are an infinite number of solutions; and the theory of generalized matrix inverses can be used to generate and characterize the solution set.
This thesis examines properties of generalized matrix inverses, and their use in solving linear equations, and in particular the role they play in treating the concept of estimability.
Recommended Citation
King, James Manville IV, "Generalized Inverse Matrices and Applications in Statistics" (1972). All Master's Theses. 1957.
https://digitalcommons.cwu.edu/etd/1957