Definition of nontrivial solution to a homogeneous linear system of equations

math.la.d.linsys.homog.nontrivial


How to compute all solutions to a general system $Ax=b$ of linear equations and connection to the corresponding homogeneous system $Ax=0$. Visualization of the geometry of solution sets. Consistent systems and their solution using row reduction.


Homogeneous systems of linear equations; trivial versus nontrivial solutions of homogeneous systems; how to find nontrivial solutions; how to know from the reduced row-echelon form of a matrix whether the corresponding homogeneous system has nontrivial solutions.

Created On
August 25th, 2017
3 years ago
Views
3
Type
 Video
Language
 English
Content Type
text/html; charset=utf-8

Pre-class quiz (three questions) on determining the solution set of a linear system, given an augmented matrix in row-echelon or reduced row-echelon form. To be completed by students after having watched a pre-class video on the topic.

License
CC-BY-SA-4.0
Created On
August 1st, 2016
4 years ago
View
1
Type
 Formative Quiz
Timeframe
 Pre-class
Perspective
 Introduction
Language
 English
Content Type
text/html; charset=utf-8