You are here

A Nonstandard Approach to Cramer's Rule

by Sidney H. Kung

This article originally appeared in:
College Mathematics Journal
January, 1988

Subject classification(s): Algebra and Number Theory | Linear Algebra
Applicable Course(s): 3.8 Linear/Matrix Algebra

Cramer's Rule gives an explicit formulation for the unique solution to a system of \(n\) equations in \(n\) unknowns when the coefficient matrix of the system is invertible.  The standard proof is developed using the adjoint matrix.  In this capsule, the author uses properties of determinants and general matrix algebra to provide an alternative proof of Cramer's Rule.


A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

To open this file please click here.

These pdf files are furnished by JSTOR.

Classroom Capsules would not be possible without the contribution of JSTOR.

JSTOR provides online access to pdf copies of 512 journals, including all three print journals of the Mathematical Association of America: The American Mathematical Monthly, College Mathematics Journal, and Mathematics Magazine. We are grateful for JSTOR's cooperation in providing the pdf pages that we are using for Classroom Capsules.

Capsule Course Topic(s):
Linear Algebra | Determinants
Linear Algebra | Matrix Algebra
Linear Algebra | Solving Linear Systems: Algebraic
Average: 3 (5 votes)

Dummy View - NOT TO BE DELETED