MULTIPLICATION OF TWO MATRICES

Write a program for multiplication  of two matrices
                        OR
Write a program to multiply two matrices

#include<iostream.h>
#include<conio.h>
void main()
{  
 clrscr();
 int a[10][10],b[10][10],c[10][10];
 int i, j, n, m;
 int p,q,k,x[10];
 cout<<"enter no of rows of 1st matrix\n";
 cin>>m;
 cout<<"enter no of colomns of 1st matrix\n";
 cin>>n;
  cout<<"enter no of rows of 2nd matrix\n";
 cin>>p;
 cout<<"enter no of colomn 2nd matrix\n";
 cin>>q;
 if(n==p)
 {
  cout<<"\n\nenter the elements of 1st matrix\n";
  for(i=0;i<m;i++)
   {
    for(j=0;j<n;j++)
     {
      cout<<"a["<<i+1<<"]["<<j+1<<"]:= ";
      cin>>a[i][j];
     }
   }
  cout<<"\n\nfirst matrix u have entered is:="<<endl;
  for(i=0;i<m;i++)
   {
    for(j=0;j<n;j++)
     {
      cout<<"\t"<<a[i][j];
     }
    cout<<endl;
   }
 cout<<"\n\nenter the elements of 2nd matrix\n";
 for(i=0;i<p;i++)
  {
   for(j=0;j<q;j++)
    {
     cout<<"b["<<i+1<<"]["<<j+1<<"]:= ";
     cin>>b[i][j];
    }

  }
 cout<<"\n\n2nd matrix u have entered is:="<<endl;
 for(i=0;i<p;i++)
  {
   for(j=0;j<q;j++)
    {
     cout<<"\t"<<b[i][j];
    }
    cout<<endl;
 }
 for(i=0;i<m;i++)
  {
   for(j=0;j<q;j++)
   {
   c[i][j]=0;
    {
     for(k=0;k<n;k++)
      {  
        x[k]=0;
        x[k]=a[i][k]*b[k][j];
        c[i][j]=c[i][j]+x[k];
      }
    }}
   }
  cout<<"\n\nmultiplication of two matrices is:="<<endl;
  for(i=0;i<m;i++)
   {
    for(j=0;j<q;j++)
     {
      cout<<"\t"<<c[i][j];
     }
    cout<<endl;
   }
  }
   else
    {
     cout<<"matrices cannot be multiplied";
     }

getch();
}

==OUTPUT==


enter no of rows of 1st matrix
2
enter no of column of 1st matrix
2
enter no of rows of 1st matrix
2
enter no of column of 1st matrix
2

enter the elements of 1st matrix
a[1]=1
a[2]=2
a[3]=2
a[4]=3

first matrix u have entered is:=
1 2
2 3

enter the elements of 2nd matrix
b[1]=2
b[2]=3
b[3]=2
b[4]=1

2nd matrix u have entered is
2 3
2 1

multiplication of two matrices is
6 5
8 9

PROGRAM TO PRINT SPIRAL MATRIX

Q) Write a program to print spiral matrix .

Sol)

#include<stdio.h>

#include<conio.h>

void main()

{

      int m[20][20],i,j;

      int lc,hc,lr,hr,r,c,cnt ;

      clrscr();

     printf("www.c-programcodes.co.in");
     printf("\n Enter r & c ::") ;

     scanf("%d%d" ,&r, &c) ;;

    

     cnt=1;

     lr=0, lc =0 ;

     hr= r-1;

     hc = c-1;

    while(lr<=hr && lc <= hc )

        {

            i = lr;

            for(j=lc;j<= hc ; j++)

                 {

                         m[i][j] = cnt++ ;

                         j= hc;

         

                         for(i=lr+1;i<=hr)

                             {

                                 m[i][j]= cnt++;

                                 if( lr != hr)

                                      {

                                         i =hr;

              

                                         for(j=hc-1;j>=lc;j--)

                                               m[i][j] = cnt++ ;

                                     }

                                 if(lc != hc)

                                     {

                                         j =hc;

                                         for(i=hr-1;i>lr;i--)

                                                m[i][j] = cnt++ ;

                                     }

                          }

                }

        lr++;

        lc++;

        hr--;

        hc--;

       }

     printf("\n Spirally filled matrix is \n");

     for(i=0;i<r ;  i++)

     {

         for(j=0;j<c;j++)

           {

                   printf("%4d", m[i][j]) ;

                   printf("\n") ;

            }

      }

}

PROGRAM TO PRINT UPPER TRIANGULAR MATRIX IN C++

Write a program to print upper triangular matrix in c++

#include<iostream.h>
#include<conio.h>
void main()
{   clrscr();
 int a[10][10],b[10][10],c[10][10];
 int i, j, n, m;
 int p,q;
 cout<<"enter no of rows of matrix\n";
 cin>>m;
 cout<<"enter no of colomns of matrix\n";
 cin>>n;
 cout<<"\n\nenter the elements of matrix\n";
  for(i=0;i<m;i++)
   {
    for(j=0;j<n;j++)
     {
      cout<<"a["<<i+1<<"]["<<j+1<<"]:= ";
      cin>>a[i][j];
     }
   }
  cout<<"\n\nmatrix u have entered is"<<endl;
  for(i=0;i<m;i++)
   {
    for(j=0;j<n;j++)
     {
      cout<<"\t"<<a[i][j];
     }
    cout<<endl;
   }
 cout<<"Upper tringular matrix is"<<endl;
  for(i=0;i<m;i++)
  {
   for(j=0;j<n;j++)
    {
     if(i<=j)
     {
      cout<<"\t"<<a[i][j];
     }
     else
     {
      cout<<"\t ";
     }
    }
    cout<<endl;
  }


getch();
}

==OUTPUT==

PROGRAM TO COUNT TOTAL NUMBER OF POSITIVE AND NEGATIVE ELEMENTS IN A MATRIX AND PRINT THEM IN C++

#include<iostream.h>
#include<conio.h>
void main()
{   clrscr();
 int a[10][10];
 int i, j, n, m;
 int x[100],y[100],pos=0,neg=0;
 cout<<"enter no of rows\n";
 cin>>n;
 cout<<"enter no of colomn\n";
 cin>>m;
 cout<<"enter the values of matrix\n";
 for(i=0;i<n;i++)
  {
   for(j=0;j<m;j++)
    {
     cout<<"a["<<i+1<<"]["<<j+1<<"]:= ";
     cin>>a[i][j];
    }

  }
 cout<<"matrix u have entered is"<<endl;
 for(i=0;i<n;i++)
  {
   for(j=0;j<m;j++)
    {
     cout<<"\t"<<a[i][j];
    }
    cout<<endl;
  }
  for(i=0;i<n;i++)
  {
   for(j=0;j<m;j++)
    {
     if(a[i][j]>=0)
      {
       x[pos]=a[i][j];
       pos++;
      }
     else
       {
        y[neg]=a[i][j];
        neg++;
       }
    }
  }
  cout<<"total positive elements are= "<<pos<<endl;
  cout<<"positive elements are"<<endl;
  for(i=0;i<pos;i++)
   {
    cout<<x[i]<<endl;
   }
  cout<<"total neg elements are= "<<neg<<endl;
  cout<<"neg elements are"<<endl;
  for(i=0;i<neg;i++)
   {
    cout<<y[i]<<endl;
   }
getch();
}
==OUTPUT==

TO PRINT TRANSPOSE OF A MATRIX IN C++

Write a program to print transpose of a matrix in c++

#include<iostream.h>
#include<conio.h>
void main()
{
 clrscr();
 int a[10][10];
 int i, j, n, m;
 int x[100],y[100];
 cout<<"enter no of rows\n";
 cin>>n;
 cout<<"enter no of colomn\n";
 cin>>m;
 cout<<"enter the elements of matrix\n";
 for(i=0;i<n;i++)
  {
   for(j=0;j<m;j++)
    {
     cout<<"a["<<i+1<<"]["<<j+1<<"]:= ";
     cin>>a[i][j];
    }

  }
 cout<<"matrix u have entered is"<<endl;
 for(i=0;i<n;i++)
  {
   for(j=0;j<m;j++)
    {
     cout<<"\t"<<a[i][j];
    }
    cout<<endl;
  }
  cout<<"\n\ntranspose of matrix is:="<<endl;
  for(j=0;j<m;j++)
  {
   for(i=0;i<n;i++)
    {
     cout<<"\t"<<a[i][j];
    }
    cout<<endl;
  }
getch();
}

==OUTPUT==

COUNT TOTAL NUMBER OF EVEN AND ODD NUMBERS IN A MATRIX AND PRINT THEM IN C++

Write a program to count total number of even and odd elements in a matrix and print that elements

#include<iostream.h>
#include<conio.h>
void main()
{   clrscr();
 int a[10][10];
 int i, j, n, m;
 int x[100],y[100],even=0,odd=0;
 cout<<"enter no of rows\n";
 cin>>n;
 cout<<"enter no of colomn\n";
 cin>>m;
 cout<<"enter the elements of matrix\n";
 for(i=0;i<n;i++)
  {
   for(j=0;j<m;j++)
    {
     cout<<"a["<<i+1<<"]["<<j+1<<"]:= ";
     cin>>a[i][j];
    }
  }
 cout<<"matrix u have entered is"<<endl;
 for(i=0;i<n;i++)
  {
   for(j=0;j<m;j++)
    {
     cout<<"\t"<<a[i][j];
    }
    cout<<endl;
  }
  for(i=0;i<n;i++)
  {
   for(j=0;j<m;j++)
    {
     if(a[i][j]%2==0 && a[i][j]>=0)
      {
       x[even]=a[i][j];
       even++;
      }
     else
      if(a[i][j]%2!=0 && a[i][j]>=0)
       {
        y[odd]=a[i][j];
        odd++;
       }
    }
  }
  cout<<"total even elements are= "<<even<<endl;
  cout<<"even elements are"<<endl;
  for(i=0;i<even;i++)
   {
    cout<<x[i]<<endl;
   }
  cout<<"total odd elements are= "<<odd<<endl;
  cout<<"odd elements are"<<endl;
  for(i=0;i<odd;i++)
   {
    cout<<y[i]<<endl;
   }
getch();
}

==OUTPUT==

enter no of rows
2
enter no of column
2
enter the elements of matrix
a[1][1]:=1

a[1][2]:=2

a[2[1]:=3

a[2][2]:=4
matrix you have entered is
1  2
3  4
total even elements are=2
even elements are
2
4
total odd elements are=2
odd elements are
1
3

SUBTRACTION OF TWO MATRICES IN C++

Write a program for subtraction of two matrices
                      OR
Write a program to subtract two matrices

#include<iostream.h>
#include<conio.h>
void main()
{  
clrscr();
 int a[10][10],b[10][10],c[10][10];
 int i, j, n, m;
 int p,q;
 cout<<"enter no of rows of 1st matrix\n";
 cin>>m;
 cout<<"enter no of columns of 1st matrix\n";
 cin>>n;
  cout<<"enter no of rows of 2nd matrix\n";
 cin>>p;
 cout<<"enter no of column 2nd matrix\n";
 cin>>q;
 if(m==p && n==q)
 {
  cout<<"\n\nenter the elements of 1st matrix:=\n";
  for(i=0;i<m;i++)
   {
    for(j=0;j<n;j++)
     {
      cout<<"a["<<i+1<<"]["<<j+1<<"]:= ";
      cin>>a[i][j];
     }
   }
  cout<<"\n\n1st matrix u have entered is:="<<endl;
  for(i=0;i<m;i++)
   {
    for(j=0;j<n;j++)
     {
      cout<<"\t"<<a[i][j];
     }
    cout<<endl;
   }
 cout<<"\n\nenter the elements of 2nd matrix:=\n";
 for(i=0;i<p;i++)
  {
   for(j=0;j<q;j++)
    {
     cout<<"b["<<i+1<<"]["<<j+1<<"]:= ";
     cin>>b[i][j];
    }

  }
 cout<<"\n\n2nd matrix u have entered is:="<<endl;
 for(i=0;i<p;i++)
  {
   for(j=0;j<q;j++)
    {
     cout<<"\t"<<a[i][j];
    }
    cout<<endl;
 }
 for(i=0;i<m;i++)
  {
   for(j=0;j<n;j++)
    {
     c[i][j]=a[i][j]-b[i][j];
    }
  }
  cout<<"\n\nsubtraction of two matrices is:="<<endl;
  for(i=0;i<m;i++)
   {
    for(j=0;j<n;j++)
     {
      cout<<"\t"<<c[i][j];
     }
    cout<<endl;
   }
  }
   else
    {
     cout<<"matrices cannot be subtracted";
     }

getch();
}

==OUTPUT==
enter no of rows of  1st matrix
2
enter no of columns of  1st matrix
2
enter no of rows of 2nd matrix
2
enter no of columns of 2nd matrix
2
enter the elements of 1st matrix:=
a[1][1]:=1
a[1][2]:=2
a[2][1]:=3
a[2][2]:=1

1st matrix you have entered is:=
    1    2
    3    1

enter the elements of 2nd matrix:=
b[1][1]:=2
b[1][2]:=5
b[2][1]:=0
b[2][2]:=5

2nd matrix you have entered is:=
    2    5
    0    5

subtraction of two matrices is:=
    -1   -3
     3   -4

ADDITION OF MATRIX IN C++

Write a program for addition of two matrices
                      OR
Write a program to add two matrices

#include<iostream.h>
#include<conio.h>
void main()
{   clrscr();
 int a[10][10],b[10][10],c[10][10];
 int i, j, n, m;
 int p,q;
 cout<<"enter no of rows of 1st matrix\n";
 cin>>m;
 cout<<"enter no of columns of 1st matrix\n";
 cin>>n;
  cout<<"enter no of rows of 2nd matrix\n";
 cin>>p;
 cout<<"enter no of column 2nd matrix\n";
 cin>>q;
 if(m==p && n==q)
 {
  cout<<"\n\nenter the elements of 1st matrix:=\n";
  for(i=0;i<m;i++)
   {
    for(j=0;j<n;j++)
     {
      cout<<"a["<<i+1<<"]["<<j+1<<"]:= ";
      cin>>a[i][j];
     }
   }
  cout<<"\n\n1st matrix u have entered is:="<<endl;
  for(i=0;i<m;i++)
   {
    for(j=0;j<n;j++)
     {
      cout<<"\t"<<a[i][j];
     }
    cout<<endl;
   }
 cout<<"\n\nenter the elements of 2nd matrix:=\n";
 for(i=0;i<p;i++)
  {
   for(j=0;j<q;j++)
    {
     cout<<"b["<<i+1<<"]["<<j+1<<"]:= ";
     cin>>b[i][j];
    }

  }
 cout<<"\n\n2nd matrix u have entered is:="<<endl;
 for(i=0;i<p;i++)
  {
   for(j=0;j<q;j++)
    {
     cout<<"\t"<<a[i][j];
    }
    cout<<endl;
 }
 for(i=0;i<m;i++)
  {
   for(j=0;j<n;j++)
    {
     c[i][j]=a[i][j]+b[i][j];
    }
  }
  cout<<"\n\nsum of two matrices is:="<<endl;
  for(i=0;i<m;i++)
   {
    for(j=0;j<n;j++)
     {
      cout<<"\t"<<c[i][j];
     }
    cout<<endl;
   }
  }
   else
    {
     cout<<"matrices cannot be added";
     }

getch();
}

==OUTPUT==
enter no of rows of  1st matrix
2
enter no of columns of  1st matrix
2
enter no of rows of 2nd matrix
2
enter no of columns of 1st matrix
2
enter the elements of 1st matrix:=
a[1][1]:=1
a[1][2]:=2
a[2][1]:=3
a[2][2]:=1

1st matrix you have entered is:=
    1    2
    3    1

enter the elements of 2nd matrix:=
b[1][1]:=2
b[1][2]:=5
b[2][1]:=0
b[2][2]:=5

2nd matrix you have entered is:=
    2    5
    0    5

sum of two matrices is:=
    3    7
    3    6

PRINTING A MATRIX IN C++

Q.) Write a C++ Program to input the elements of  a matrix and then print them in matrix form.

Sol)

#include<iostream.h>

#include<conio.h>

void main()

{

   clrscr();

   int a[10][10];

   int i, j, n, m;

  

   cout<<"enter no of rows  \n";

   cin>>n;

   cout<<"enter no of colomn  \n";

   cin>>m;

   cout<<"enter the values of matrix  \n";

  

   for(i=0;i<n;i++)

     {

         for(j=0;j<m;j++)

           {

               cout<<"a["<<i+1<<"]["<<j+1<<"]:= ";

               cin>>a[i][j];

           }

     }

   cout<<"matrix u have entered is \n ";

  

   for(i=0;i<n;i++)

      {

          for(j=0;j<m;j++)

            {

                  cout<<"\t"<<a[i][j];

            }

         cout<<"\n";

     }

  getch();

}

                                        =OUTPUT=