This module contains classes and functions for doing linear algebra.

• • This class represents a vector of arbitrary size and related operations.

  Overview about the methods:

  • constructor(components : list) : init the vector
  • set(components : list) : changes the vector components.
  • __str__() : toString method
  • component(i : int): gets the i-th component (start by 0)
  • __len__() : gets the size / length of the vector (number of components)
  • euclidLength() : returns the eulidean length of the vector.
  • operator + : vector addition
  • operator - : vector subtraction
  • operator * : scalar multiplication and dot product
  • copy() : copies this vector and returns it.
  • changeComponent(pos,value) : changes the specified component.

• function zeroVector(dimension)

  • returns a zero vector of 'dimension'

• function unitBasisVector(dimension,pos)

  • returns a unit basis vector with a One at index 'pos' (indexing at 0)

• function axpy(scalar,vector1,vector2)

  • computes the axpy operation

• function randomVector(N,a,b)

  • returns a random vector of size N, with random integer components between 'a' and 'b'.

• • This class represents a matrix of arbitrary size and operations on it.

  Overview about the methods:

  • __str__() : returns a string representation
  • operator * : implements the matrix vector multiplication implements the matrix-scalar multiplication.
  • changeComponent(x,y,value) : changes the specified component.
  • component(x,y) : returns the specified component.
  • width() : returns the width of the matrix
  • height() : returns the height of the matrix
  • determinate() : returns the determinate of the matrix if it is square
  • operator + : implements the matrix-addition.
  • operator - _ implements the matrix-subtraction

• function squareZeroMatrix(N)

  • returns a square zero-matrix of dimension NxN

• function randomMatrix(W,H,a,b)

  • returns a random matrix WxH with integer components between 'a' and 'b'

This module uses docstrings to enable the use of Python's in-built help(...) function. For instance, try help(Vector), help(unitBasisVector), and help(CLASSNAME.METHODNAME).

Import the module lib.py from the src directory into your project. Alternatively, you can directly use the Python bytecode file lib.pyc.

src/tests.py contains Python unit tests which can be run with python3 -m unittest -v.