Definition of column vector, coordinate vector space

math.la.d.vec.col.coord


Definition of vector, equality of vectors, vector addition, and scalar vector multiplication. Geometric and algebraic properties of vector addition are discussed. (need a topic on vector addition is commutative and associative)

Created On
February 19th, 2017
3 years ago
Views
2
Type
 Video
Timeframe
 Pre-class
Perspective
 Introduction
Language
 English
Content Type
text/html; charset=utf-8

University of Waterloo Math Online -


Slides for the accompanying video from University of Waterloo.

Created On
October 23rd, 2013
7 years ago
Views
3
Type
 Handout
Perspective
 Introduction
Language
 English
Content Type
application/pdf

After solving a few systems of equations, you will recognize that it does not matter so much what we call our variables, as opposed to what numbers act as their coefficients. A system in the variables \(x_1,\,x_2,\,x_3\) would behave the same if we changed the names of the variables to \(a,\,b,\,c\) and kept all the constants the same and in the same places. In this section, we will isolate the key bits of information about a system of equations into something called a matrix, and then use this matrix to systematically solve the equations. Along the way we will obtain one of our most important and useful computational tools.

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

Pre-class quiz (five questions) on vector operations, 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