MatLibCPP (A simple matrix library)

A MATRIX library for C++ users

Features

Following are the features of MatLibCpp

Matrix Initialization

• matrix <typename> a(row_size,column_size, const initial_value)

  Eg:

    matrix <int> a(2,2,4);
  
    Matrix a will be:
    4 4 
    4 4
  

• matrix <typename> a(row_size,column_size)

  Eg:

    matrix <int> a(2,2);
    
    Matrix a will be:
    0 0
    0 0
  

• matrix <typename> a;

  Eg:

    matrix <int> a;
  

• matrix <typename> a(const std :: vector < std :: vector <typename> > &)

  Eg:

    vector <vector <int> > b={{1,2},{2,3}}
    matrix <int> a = b;
  
    Matrix a will be:
    1 2
    2 3
  

• matrix <typename> a(const std :: initializer_list < std :: initializer_list <typename> > &)

  Eg:

    matrix <int> a = {{1,2},{2,3}};
  
    Matrix a will be:
    1 2
    2 3
  

Accessing the element of ith row and jth column:

• a(i,j) will give the required element

Matrix Addition

• matrix <typename> :: matrix <typename> operator + or += (matrix <typename> & val)

  Eg:

    matrix <int> a(2, 2, 5),b(2, 2, 5);
    a+=b;
    auto c=a+b;
    
    Matrix a and c will become:
    10 10
    10 10
  

Matrix Subtraction

• matrix <typename> :: matrix <typename> operator - or -= (matrix <typename> & val)

  Eg:

    matrix <int> a(2, 2, 5),b(2, 2, 4);
    a+=b;
    auto c=a+b;
    
    Matrix a and c will become:
    1 1
    1 1
  

Matrix Multiplication

• matrix <typename> :: matrix <typename> operator * or *= (matrix <typename> & val)

  Eg:

    matrix <int> a(2, 2, 1),b(2, 2, 2);
    a*=b;
    auto c=a*b;
    
    Matrix a and c will become:
    4 4
    4 4
  

Matrix Multiplication with scalar

• matrix <typename> :: void operator * or *= (const typename& val)

  Eg:

    matrix <int> a(2, 2, 1);
    a*=4.0;
    auto c=a*4.0;
    
    Matrix a is:
    4 4
    4 4
    
    Matric c:
    4.0 4.0
    4.0 4.0
  

Matrix Division with scalar

• matrix <typename> :: void operator / or /= (const typename& val)

  Eg:

    matrix <int> a(2, 2, 1);
    a/=2.0;
    auto c=a/2.0;
    
    Matrix a is:
    0 0
    0 0
    
    Matric c is:
    0.5 0.5
    0.5 0.5
  

Matrix Mudulo with scalar

• matrix <typename> :: void operator % or %= (const typename& val)

  Eg:

    matrix <int> a(2, 2, 10);
    a%=4;
    auto c=a%4;
    
    Matrix a and c will be:
    2 2
    2 2
  

Matrix Exponentiation With or With Modulo

• matrix <typename> :: matrix <typename> exp(exponent, MOD=-1)

  Eg:

    matrix <int> a(2,2,2);
    auto c = a.exp(2);
    
    Matrix c is:
    8 8
    8 8
    auto c = a.exp(2,3);
    
    Matrix c is:
    3 3
    3 3
  

To Do's

• Matrix transpose
• Matrix inverse
• Currently thinking of more