Transpose of a matrix by C++ Programme

Transpose of a matrix by C++ Programme:

THEORY:

If A = [a_ij] be an m × n matrix, then the matrix obtained by interchanging the rows and columns of A is called the transpose of A. Transpose of the matrix A is denoted by A′ or (A^T ). In other words, if A = [a_ij]_m×n , then A^T = [a_ji] _n×m .

CODING:

#include<iostream.h>

#include<conio.h>

void main()

{

int a[3][3];

int i,j;

clrscr();

cout<<"Enter the elements of the matrix:\n";

for(i=0;i<=2;i++)

{

for(j=0;j<=2;j++)

{

cin>>a[i][j];

}

}

cout<<"The matrix is :\n";

for(i=0;i<=2;i++)

{

for(j=0;j<=2;j++)

{

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

}

cout<<endl;

}

cout<<"The transpose of the matrix is:\n";

for (i=0;i<=2;i++)

{

for(j=0;j<=2;j++)

{

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

}

cout<<endl;

}

getch();

}

OUTPUT:

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