Coders Packet

Transposing Matrix given by user using JAVA

By Aryan Pradhan

In this tutorial we will learn how to transpose a matrix giving by the user using JAVA. We will also learn about the algorithm and code to transpose the matrix.

What is Transpose Matrix?

A transpose matrix is obtained by interchanging the rows into columns and columns into rows of the original matrix. In the language of coding the transpose of a matrix can be determined by Matrix[rows][columns]=matrix=[columns][rows].

Let us understand more clearly by the following example 

Algorithm for Transposing the user given Matrix:

1. Take the input from the user for number of rows and number of columns of the original matrix.

2. Store the matrix given by the user in a 2D array.

3. Now declare another 2D array variable to store the transpose matrix.

4. Transpose the matrix by following block of code

int transpose[][]=new int[10][10];        //Declaring transpose matrix variable
        for(int i=0;i<rows;i++)     //Transpose Matrix initialization
        {
             for(int j=0;j<columns;j++)
             {
                 transpose[j][i]=matrix[i][j];     //Storing elements in the transpose matrix
             }
        }

5. Print the original matrix and the transposed matrix.

 

Code:

Below is our Java code:

/*JAVA program to tranpose the user given matrix*/
import java.util.*;

public class transpose_matrix
{
     public static void main(String []args)
     {
         Scanner y=new Scanner(System.in); //Taking user input
         
         int rows,columns;                 //Declaring variables
         
         System.out.println("Enter the number of rows: \n");
         rows=y.nextInt();  //Taking input for number of rows from user
         
         System.out.println("Enter the number of column: \n");
         columns=y.nextInt();  //Taking input for number of columns from user
         
         int matrix[][]=new int[10][10];        //Declaring size of Matrix
         System.out.println("Enter the elements of the matrix: ");
         for(int i=0;i<rows;i++)    //Initializing matrix
         {
            for(int j=0;j<columns;j++)
            {
                 matrix[i][j]=y.nextInt();
            }
         }
         System.out.println("The elements in the original matrix are: "); //Printing Original Matrix
         for(int i=0;i<rows;i++)     
         {
             for(int j=0;j<columns;j++)
             {
                  System.out.print(matrix[i][j]+" ");
             }
            System.out.println("");
        }
        
        int transpose[][]=new int[10][10];        //Declaring transpose matrix variable
        for(int i=0;i<rows;i++)     //Transpose Matrix initialization
        {
             for(int j=0;j<columns;j++)
             {
                 transpose[j][i]=matrix[i][j];     //Storing elements in the transpose matrix
             }
        }
        
        System.out.println("After transposing the elements are...");
        for(int i=0;i<rows;i++)      //Printing the transpose matrix
        {
             for(int j=0;j<columns;j++)
             {
                 System.out.print(transpose[i][j]+" ");
             }
            System.out.println("");
        }
         
     }
}

Input:

 

Output:

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