Definition of m by n matrix

math.la.d.mat.m_by_n


Notation for matrix entries, diagonal matrix, square matrix, identity matrix, and zero matrix.

Created On
February 17th, 2017
4 years ago
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3
Type
 Video
Timeframe
 Pre-class
Perspective
 Introduction
Language
 English
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text/html; charset=utf-8

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.

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