AlgebraOnMatrix Module in Python

AlgebraOnMatrix module is that library of python which helps you to perform basic matrix algebra such as addition of two matrices, subtraction of two matrices, multiplication of two matrices, transpose of matrix .

Installing Library

This module does not come built-in with Python. You need to install it externally. To install this module type the below command in the terminal.

pip install AlgebraOnMatrix

Function of AlgebraOnMatrix

Matrix : It will transform our Two dimensional array into matrix .

Example :

# Importing Matrix function
# From AlgebraOnMatrix Library
from AlgebraOnMatrix import Matrix

arr =[[1, 2, 3], [4, 5, 6, ], [7, 8, 9]]

# Now we will transform our 2d array
# into the matrix and make an object
# of it
a = Matrix(arr)

Operations on Matrix

• Addition of Matrices : Here we will add the matrix b with the matrix a where matrix b is given in 2d array .It will be done by function Matrix.addition(a, b) where a is a object which we have created and b is 2d array .
  Example :

  # Importing Matrix function
  # From AlgebraOnMatrix Library
  from AlgebraOnMatrix import Matrix
  
  arr =[[1, 2, 3], [4, 5, 6, ], [7, 8, 9]]
  
  # Now we will transform our 2d array
  # into matrix and make an object of it
  a = Matrix(arr)
  
  b =[[1, 2, 3], [4, 5, 6, ], [7, 8, 9]]
  
  ans = Matrix.addition(a, b)
  print(ans)

  Output :

  [[2, 4, 6], [8, 10, 12], [14, 16, 18]]
  

• Subtraction of Matrices :Here we will subtract the matrix b from the matrix a where matrix b is given in 2d array .It will be done by function Matrix.subtraction(a, b) where a is a object which we have created and b is 2d array .
  Example :

  # Importing Matrix function
  # From AlgebraOnMatrix Library
  from AlgebraOnMatrix import Matrix
  
  arr =[[1, 2, 3], [4, 5, 6, ], [7, 8, 9]]
  
  # Now we will transform our 2d array
  # into matrix and make an object of it
  a = Matrix(arr)
  
  b =[[1, 2, 3], [4, 5, 6, ], [7, 8, 9]]
  
  ans = Matrix.subtraction(a, b)
  print(ans)

  Output :

  [[0, 0, 0], [0, 0, 0], [0, 0, 0]]
  

• Multiplication of Matrices : Here we will multiply the matrix b with the matrix a where matrix b is given in 2d array .It will be done by function Matrix.multiplication(a, b) where a is a object which we have created and b is 2d array .
  Example :

  # Importing Matrix function
  # From AlgebraOnMatrix Library
  from AlgebraOnMatrix import Matrix
  
  arr =[[1, 2, 3], [4, 5, 6, ], [7, 8, 9]]
  
  # Now we will transform our 2d array
  # into matrix and make an object of it
  a = Matrix(arr)
  
  b =[[1, 2, 3], [4, 5, 6, ], [7, 8, 9]]
  
  ans = Matrix.multiplication(a, b)
  print(ans)

  Output :

  [[30, 36, 42], [66, 81, 96], [102, 126, 150]]
  

• Transpose of Matrix :Here we will transpose the matrix a.It will be done by function Matrix.transpose(a) where a is a object which we have created
  Example :

  # Importing Matrix function
  # From AlgebraOnMatrix Library
  from AlgebraOnMatrix import Matrix
  
  arr =[[1, 2, 3], [4, 5, 6, ], [7, 8, 9]]
  
  # Now we will transform our 2d array
  # into matrix and make an object of it
  
  a = Matrix(arr)
  
  ans = Matrix.transpose(a)
  print(ans)

  Output :

  [[1, 4, 7], [2, 5, 8], [3, 6, 9]]