You are here

Determinantal Loci

This article characterizes the points \((x, y)\) in the plane for which the determinant of a matrix of a particular form involving \((x, y)\) is \(0\).  The matrices of interest have the form  \(A+xL+uM\), where \(A\), \(L\), and \(M\) are square matrices, \(L\) and \(M\) are of rank one, and \(L + M\) is of rank two.

Old Node ID: 
765
Author(s): 
Marvin Marcus (University of California, Santa Barbara)
Publication Date: 
Thursday, September 15, 2005
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
January, 1992
Subject(s): 
Algebra and Number Theory
Linear Algebra
Topic(s): 
Linear Algebra
Determinants
Geometry
Matrix Multiplication
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
Rating Count: 
17.00
Rating Sum: 
54.00
Rating Average: 
3.18
Author (old format): 
Marvin Marcus
Applicable Course(s): 
3.8 Linear/Matrix Algebra
Modify Date: 
Wednesday, February 1, 2006
Average: 3.2 (17 votes)

Dummy View - NOT TO BE DELETED