Home Site Statistics  |   Contact  |   About Us
Tuesday, October 16, 2018
Consulting Services - Back to Home     j0110924 - Back to Home
   Skip Navigation LinksHOME › AREAS OF EXPERTISE › Vectors and Matrices › ~ Vectors and Matrices in Smalltalk


      Skip Navigation Links
   VECTORS /
   MATRICES   
   SMALLTALK   
       CODE   
   IMPLEMENTATION   
   SMALLTALK WORKSPACE /    
   TRANSCRIPT   
   OPERATORS...   
 


A Note On Vectors...

A vector is an object in a multidimensional space. It is represented by its components measured on a reference system. A reference system is a series of vectors from which the entire space can be generated.

A commonly used mathematical notation for a vector is a lowercase bold letter – v, for example. So, if the set of vectors u1,...,un is a reference system for a space with n dimensions, then any vector of the space can be written as,

          v = v1u1 + ··· + vnun,

where v1,…,vn are real numbers in the case of a real space. These numbers are called the components of a vector.

and Matrices...

A matrix is a linear operator over vectors from one space to vectors in another space not necessarily of the same dimension. This means that the application of a matrix on a vector is another vector. Matrix is commonly represented with an uppercase bold letter – M, for example. The application of the matrix M on the vector V is denoted by M • v. The fact that a matrix is a linear operator means that

          M • (αu + βv) = αM • u + βM • v,

for any matrix M, any vectors u and v, and any numbers α and β.





You are viewing this tab ↓
Skip Navigation Links.



Consulting Services - Back to Home
Home

Home Math, Analysis & More,
  established expertise..."

EIGENVALUE SOLUTIONS...
Eigen Inverse Iteration
Rayleigh-Quotient Method

INTERPOLATION APPLICATIONS...
Cubic Spline Method
Newton Divided Difference

 

Applied Mathematical Algorithms

     Home Complex Functions
A complex number z = x + iy, where...

Complex Functions
     Home Non-Linear Systems
Non-linear system methods...

Non Linear Systems
     Home Differentiation
Construction of differentiation...

Differentiation
     Home Integration
Consider the function where...

Integration
 
  KMP Engineering  
 Location: 2461 E Orangethorpe Ave. 
 Fullerton, CA 92631 USA Email:info@keystoneminingpost.com

2006-2018 All rights reserved© KMP Engineering  
SITE STATISTICS

CONTACT

ABOUT US