# Definition of nontrivial solution to a homogeneous linear system of equations

math.la.d.linsys.homog.nontrivial

# Finding all solutions of systems of linear equations

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.

##### math.la.d.linsys.homog.nontrivial
Created On
August 22nd, 2017
3 years ago
Views
2
Type
Video
Language
English
Content Type
text/html; charset=utf-8

# Solving homogeneous systems of equations

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.

##### math.la.e.linsys.3x3.soln.homog.row_reduce.i
Created On
August 25th, 2017
3 years ago
Views
3
Type
Video
Language
English
Content Type
text/html; charset=utf-8

# Solution Sets: Pre-Class Quiz (Canvas)Awaiting Moderation

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.

##### math.la.e.linsys.3x3.soln.homog.row_reduce.i
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