Definition of linear combination of vectors, coordinate vector space

math.la.d.vec.lincomb.coord


The linear combination of a set of vectors is defined. Determine if a vector in R^2 is in the span of two other vectors. The span of a set of vectors is related to the columns of a matrix. (need topic: Determine if a vector in R^2 is in the span of two other vectors.)

Created On
February 20th, 2017
3 years ago
Views
2
Type
 Video
Timeframe
 Pre-class
Perspective
 Introduction
Language
 English
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text/html; charset=utf-8

Definition of the span of a set of vectors. Example of checking if a vector in R^3 is in the span of a set of two vectors. Geometric picture of a span.

Created On
February 20th, 2017
3 years ago
Views
3
Type
 Video
Timeframe
 Pre-class
Perspective
 Introduction
Language
 English
Content Type
text/html; charset=utf-8

Suggestions for in-class activities on linear combination and span of vectors in R^n. (need a topic for the general *process* of determining if a vector is in the span of a set of devtors)

Created On
February 20th, 2017
3 years ago
Views
2
Type
 Handout
Timeframe
 In-class
Language
 English
Content Type
text/html; charset=utf-8

In-class activity for linear combinations and span.

License
GFDL-1.3
Created On
June 8th, 2017
3 years ago
Views
3
Type
 Handout
Timeframe
 In-class
Perspective
 Introduction
Language
 English
Content Type
application/pdf

University of Waterloo Math Online -


In Section VO we defined vector addition and scalar multiplication. These two operations combine nicely to give us a construction known as a linear combination, a construct that we will work with throughout this course.

License
GFDL-1.2
Submitted At
September 11th, 2017
 3 years ago
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2
Type
 Textbook
Language
 English
Content Type
text/html