Python/linear_algebra
Rudransh Bhardwaj e871540e37
Added rank of matrix in linear algebra (#8687)
* Added rank of matrix in linear algebra

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Co-authored-by: Christian Clauss <cclauss@me.com>

* Update linear_algebra/src/rank_of_matrix.py

Co-authored-by: Christian Clauss <cclauss@me.com>

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Co-authored-by: Caeden Perelli-Harris <caedenperelliharris@gmail.com>

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Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Christian Clauss <cclauss@me.com>
Co-authored-by: Caeden Perelli-Harris <caedenperelliharris@gmail.com>
2023-05-31 17:03:02 +02:00
..
src Added rank of matrix in linear algebra (#8687) 2023-05-31 17:03:02 +02:00
__init__.py Add __init__.py files in all the directories (#2503) 2020-09-28 19:42:36 +02:00
README.md Rewrite parts of Vector and Matrix (#5362) 2021-10-27 11:48:43 +08:00

Linear algebra library for Python

This module contains classes and functions for doing linear algebra.


Overview

class Vector

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

    Overview of the methods:

    • constructor(components) : init the vector
    • set(components) : changes the vector components.
    • __str__() : toString method
    • component(i): gets the i-th component (0-indexed)
    • __len__() : gets the size / length of the vector (number of components)
    • euclidean_length() : 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
    • change_component(pos,value) : changes the specified component
  • function zero_vector(dimension)

    • returns a zero vector of 'dimension'
  • function unit_basis_vector(dimension, pos)

    • returns a unit basis vector with a one at index 'pos' (0-indexed)
  • function axpy(scalar, vector1, vector2)

    • computes the axpy operation
  • function random_vector(N, a, b)

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

class Matrix

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

    Overview of the methods:

    • __str__() : returns a string representation
    • operator * : implements the matrix vector multiplication implements the matrix-scalar multiplication.
    • change_component(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
    • determinant() : returns the determinant of the matrix if it is square
    • operator + : implements the matrix-addition.
    • operator - : implements the matrix-subtraction
  • function square_zero_matrix(N)

    • returns a square zero-matrix of dimension NxN
  • function random_matrix(W, H, a, b)

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

Documentation

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


Usage

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


Tests

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