Elementary Matrix Algebra: Part 2—Elementary Operations, Inverse of a Matrix

2018 ◽  
pp. 19-23
Author(s):  
Howard Mark ◽  
Jerry Workman
Keyword(s):  
Matrix Algebra ◽  
Elementary Matrix ◽  
Algebra Part

scholarly journals Continuously infinite matrices and the algebraic theory of Fredholm's equation

1960 ◽  
Vol 1 (2) ◽  
pp. 134-142
Author(s):  
W. B. Smith–White
Keyword(s):  
Integral Equation ◽  
Analytic Function ◽  
Linear System ◽  
Matrix Algebra ◽  
Algebraic Theory ◽  
Elementary Matrix ◽  
Variable Λ ◽  
Image Position ◽  
Finite Linear ◽  
Usual Parameter

In this note the theory of the integral equation is reduced to elementary matrix algebra. The Fredholm theorems are proved without the introduction of the usual parameter λ and without using the properties of the resolvent considered as an analytic function of the complex variable λ. There is an exact correspondence between the properties of the equation (1) and the properties of a finite linear system. Here the proofs of these properties are also in extact correspondence with the same for the elementary case.

Elementary Matrix Algebra (Franz E. Hohn)

SIAM Review ◽  
1960 ◽  
Vol 2 (2) ◽  
pp. 160-161
Author(s):  
J. P. Russell
Keyword(s):  
Matrix Algebra ◽  
Elementary Matrix
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