Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-14T07:38:11.439Z Has data issue: false hasContentIssue false
  • English
  • Français

The Solution of Linear Algebraic Equations

Published online by Cambridge University Press:  03 November 2016

L. Brand
L. Brand*
Affiliation:
University of Houston, Texas, U.S.A.
Get access Rights & Permissions [Opens in a new window]

Extract

The rank of the coefficient matrix plays a dominant role in the theory of linear algebraic equations. It is not surprising, therefore, that a test for the rank of a matrix, that was a by-product of some work in dimensional analysis, proves to be an an admirable tool in this theory With its aid the consistency requirement assumes a simple and effective form, and the solution of both homogeneous and non-homogeneous systems is given explicitly in terms of submatrices.

Type
Research Article
Information
The Mathematical Gazette , Volume 46 , Issue 357 , October 1962 , pp. 203 - 207
Copyright
Copyright © Mathematical Association 1962

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

page note 203 * L. Brand, The Pi Theorem in Dimensional Analysis, Archive for Rational Mechanics and Analysis, vol. 1, 1957, pp. 35-45. Presented in an invited address before the Texas section of the A.M.A., Waco, April, 1958.

page note 203 † Presented, with applications, in a paper “Test for the Rank of a Matrix” before the Texas section of the A.M.A., San Antonio, April 8, 1960.

page note 203 * See Bôcher, Introduction to Higher Algebra, Macmillan, New York, 1922, Chap. 4.