A matrix equation is equivalent to a linear system

math.la.t.mat.eqn.linsys


The product of a matrix times a vector is defined, and used to show that a system of linear equations is equivalent to a system of linear equations involving matrices and vectors. The example uses a 2x3 system.

License
CC-BY-SA-4.0
Created On
February 15th, 2017
3 years ago
Views
3
Type
 Video
Timeframe
 Pre-class
Perspective
 Introduction
Language
 English
Content Type
text/html; charset=utf-8

Advice to instructors for in-class activities on matrix-vector multiplication and translating between the various equivalent notation forms of linear systems, and suggestions for how this topic can be used to motivate future topics.

Created On
February 15th, 2017
3 years ago
Views
3
Type
 Handout
Timeframe
 In-class
Perspective
 Example
Language
 English
Content Type
text/html; charset=utf-8

We know how to add vectors and how to multiply them by scalars. Together, these operations give us the possibility of making linear combinations. Similarly, we know how to add matrices and how to multiply matrices by scalars. In this section we mix all these ideas together and produce an operation known as matrix multiplication. This will lead to some results that are both surprising and central. We begin with a definition of how to multiply a vector by a matrix.

License
GFDL-1.2
Submitted At
September 11th, 2017
 3 years ago
Views
3
Type
 Textbook
Language
 English
Content Type
text/html

Elementary quiz (five questions) on the matrix equation, to be completed by students after having watched an introductory video on the subject.

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