Matrices

Pôle Numérique
Chapter 2
Introduction to matrices
1
Auteur : Loïc AUDREN
Formation : EENG
UE : Refresher
Version : 1.0
Date : 05/09/2018

NumériquePôle
1. Structure and operations
2
23/09/2019
A matrix with n rows and p colums in (where is or or ) is a rectangular table
having np elements of . We denote this matrix like that :
 is the term of the matrix M at the 𝑡ℎ row and at the 𝑡ℎ column.
The set of the matrices with n rows and p columns with corefficients in is noted , .
The expression ×is called the dimension of the matrix , .
Definitions

NumériquePôle
Mini Quizz 1
23/09/2019
3
Dimension of :
2x3 3x2 6
6 - 6 12

NumériquePôle
4
23/09/2019
If , the matrix is a square matrix it belongs to the set 
(an order n matrix)
2 x 2 matrix = order 2 matrix 3x 3matrix = order 3 matrix
If n = 1, the matrix is a row matrix.
If p = 1, the matrix is a column matrix.
Definitions

NumériquePôle
5
23/09/2019
A diagonal matrix is a square matrix where any coefficients 
is a diagonal matrix
An upper triangular matrix (resp. lower) is a square matrix where all the elements
below (resp. above) the diagonal are null :  (resp.  .
Upper triangular matrix Lower triangular matrix
Definitions