# Definition of linear combination of vectors, coordinate vector space

math.la.d.vec.lincomb.coord

# Linear combinations of vectors

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.)

##### math.la.t.mat.eqn.lincomb
Created On
February 20th, 2017
6 years ago
Views
2
Type
Video
Timeframe
Pre-class
Perspective
Introduction
Language
English
Content Type
text/html; charset=utf-8

# Span of a set of vectors

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.

##### math.la.c.vec.span.geometric.rncn
Created On
February 20th, 2017
6 years ago
Views
3
Type
Video
Timeframe
Pre-class
Perspective
Introduction
Language
English
Content Type
text/html; charset=utf-8

# Vector Equations: In-Class Activities

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)

##### math.la.t.linsys.vec
Created On
February 20th, 2017
6 years ago
Views
2
Type
Handout
Timeframe
In-class
Language
English
Content Type
text/html; charset=utf-8

# Linear Combinations and Span

In-class activity for linear combinations and span.

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

# Vector Addition and Scalar Multiplication

University of Waterloo Math Online -

##### math.la.d.vec.lincomb.coord
Created On
October 23rd, 2013
9 years ago
Views
2
Type
Video
Perspective
Introduction
Language
English
Content Type
text/html;charset=UTF-8

# Linear Combinations - A First Course in Linear Algebra

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.
{"ft_lang_label":"__label__en","ft_lang_prob":0.91000026,"math_prob":0.49568105,"size":946,"snap":"2022-40-2023-06","text_gpt3_token_len":207,"char_repetition_ratio":0.17834395,"word_repetition_ratio":0.19879518,"special_character_ratio":0.21458773,"punctuation_ratio":0.09090909,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9831101,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-02-02T18:46:04Z\",\"WARC-Record-ID\":\"<urn:uuid:2a6f7308-8806-4277-b975-021f765574d6>\",\"Content-Length\":\"27411\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:b77d323a-f3e2-4034-a380-c27f87d7b484>\",\"WARC-Concurrent-To\":\"<urn:uuid:e913f754-242b-4fe3-9db3-8f45ae0fddb7>\",\"WARC-IP-Address\":\"173.255.197.14\",\"WARC-Target-URI\":\"https://curatedcourses.org/math/la/d/vec/lincomb/coord\",\"WARC-Payload-Digest\":\"sha1:BYAZPXJ2D2W2PRSM6EUQKLUNACHVMLN3\",\"WARC-Block-Digest\":\"sha1:34JE25IQ7PR3U3SGWY3H4YZARZEK2ZX5\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-06/CC-MAIN-2023-06_segments_1674764500035.14_warc_CC-MAIN-20230202165041-20230202195041-00700.warc.gz\"}"}