In this C++ tutorial, we will see how to find the transpose of a matrix, before going through the program, lets understand what is the transpose of matrix.

Lets say we have a matrix:

---------------- | 1 | 2 | 3 | | 4 | 5 | 6 | | 7 | 8 | 9 | | 10 | 11 | 12 | ----------------

The transpose of this matrix is shown below: Rows and columns are interchanged, rows of original matrix becomes column in transpose and columns of original matrix becomes rows in transpose.

--------------------- | 1 | 4 | 7 | 10 | | 2 | 5 | 8 | 11 | | 3 | 6 | 9 | 12 | ---------------------

Let’s implement this logic in a C++ program. To understand the program you should have a basic knowledge of arrays and multidimensional array.

## C++ program to find transpose of a matrix

#include<iostream> using namespace std; int main(){ int matrix[10][10], transMatrix[10][10], row, col; //Getting the rows from user and storing in row cout<<"Enter the number of rows: "; cin>>row; //Getting the columns from user and storing in col cout<<"Enter the number of columns: "; cin>>col; /* Asking the user to input the elements of matrix * and storing them in the matrix array */ cout<<"Enter elements of matrix: "<<endl; for(int i =0;i<row;i++) { for(int j=0;j<col;j++) { cin>>matrix[i][j]; } } // Finding the transpose matrix. for(int i=0;i<row;i++) { for(int j=0;j<col;j++) { transMatrix[j][i] = matrix[i][j]; } } //Displaying the transpose matrix cout<<"Transpose of Matrix: "<<endl; for(int i=0;i<col;i++) { for(int j=0;j<row;j++) { cout<<transMatrix[i][j]<<" "; /* This is just to format the output * so you can see the matrix format * in the output transpose matrix. */ if(j==row-1) cout<<endl; } } return 0; }

**Output:**

Enter the number of rows: 4 Enter the number of columns: 3 Enter elements of matrix: 1 2 3 4 5 6 7 8 9 10 11 12 Transpose of Matrix: 1 4 7 10 2 5 8 11 3 6 9 12

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