Addition Subtraction and Multiplication of Matrix in c++

Addition Subtraction and Multiplication of Matrix in C++

Today we will learn how to do “Addition Subtraction and Multiplication of Matrix in c++“. What is the Matrix? What is the Rules of Addition , Subtraction and Multiplication of Matrix? Implementation of Addition,Subtraction and Multiplication of Matrix in C++ programming language.

What is the Matrix :-

The Numerical data which is written in the shape of Columns and Rows into Square brackets.It just like a Two dimensional Array.Every Matrix have its own order. The order of a Matrix is Number of Rows *Number of Columns.

The Formula of order of a Matrix = “m*n”.here m is use to represent No. of Rows and n is No. of Columns

Note : – We don’t multiply the No. of Rows into No.of Columns. The order of a Matrix is just tells that how many rows and columns are exits in this Matrix. For Example 3*3. It is also read as “3 by 3” or “2 by 2” etc….

For Example

Addition Subtraction and Multiplication of Matrix in c++ [howpk.com]

Rules of those operations of Matrix :-

The Addition are performed only those two Matrices which have same order.
The Subtraction are performed only those two Matrices which have same order.
The Multiplication are performed on Matrices if and only if the column of 1st matrix is equal to Rows of 2nd Matrix. For Example :-

Addition Subtraction and Multiplication of Matrix c++ program [howpk.com]

Program of Addition,Subtraction & Multiplication in C/C++ Language

#include<iostream>

using namespace std;

class Matrix

{

private:

int i,j,k,M1[3][3],M2[3][3],r,result[3][3];

public:

void create()

{

cout<<“\tEnter the values of First matrix”<<endl;

for( i=0;i<3;i++)

{

for(j=0;j<3;j++)

{

cout<<” Enter the number of “<<i+1<<” Row and “<<j+1<<” Column\t”;

cin>>M1[i][j];

}

cout<<“\tEnter the values of Second Matrix”<<endl;

for( i=0;i<3;i++)

{

for(j=0;j<3;j++)

{

cout<<” Enter the number of “<<i+1<<” Row and “<<j+1<<” Column\t”;

cin>>M2[i][j];

}

cout<<“The values of First Matirx is”<<endl;

for( i=0;i<3;i++)

{

for(j=0;j<3;j++)

{

cout<<M1[i][j]<<“\t”;

}

cout<<endl;

}

cout<<“The values of Second Matirx is”<<endl;

for( i=0;i<3;i++)

{

for(j=0;j<3;j++)

{

cout<<M2[i][j]<<“\t”;

}

cout<<endl;

}

void ADD()

{

for( i=0;i<3;i++)

{

for(j=0;j<3;j++)

{

result[i][j]=M1[i][j]+M2[i][j];

}

cout<<endl<<“\t\tThe Addtion of these two Matrix are as follows…”<<endl;

for( i=0;i<3;i++)

{

for(j=0;j<3;j++)

{

cout<<“\t”<<result[i][j]<<“\t”;

}

cout<<endl;

}

void Subtraction()

{

for( i=0;i<3;i++)

{

for(j=0;j<3;j++)
{

result[i][j]=M1[i][j]-M2[i][j];

}

cout<<endl<<“\t\tThe Subtraction of these two Matrix are as follows…”<<endl;

for( i=0;i<3;i++)

{

for(j=0;j<3;j++)

{

cout<<“\t”<<result[i][j]<<“\t”;

}

cout<<endl;

}

void Multiplication()

{

for( i=0;i<3;i++)

{

for(j=0;j<3;j++)

{

result[i][j]=0;

}

for( i=0;i<3;i++)

{

for(j=0;j<3;j++)

{

for(k=0;k<3;k++)

{

r=M1[i][k]*M2[k][j];

result[i][j]=result[i][j]+r;

}

cout<<endl<<“\t\tThe Multiplication of these two Matrix are as follow…”<<endl;

for( i=0;i<3;i++)

{

for(j=0;j<3;j++)

{

cout<<“\t”<<result[i][j]<<“\t”;

}

cout<<endl;

}

};

int main()
{

Matrix a;

a.create();

a.ADD();

a.Subtraction();

a.Multiplication();

}