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Solved 2023 Thory Paper ISC Computer Science

Class 12 - ISC Computer Science Solved Theory Papers

Matrix Transpose Program - ISC 2023 Theory

A class Trans is defined to find the transpose of a square matrix. A transpose of a matrix is obtained by interchanging the elements of the rows and columns.

Example: If size of the matrix = 3, then
ORIGINAL

11

5

7

8

13

9

1

6

20

TRANSPOSE

11

8

1

5

13

6

7

9

20

Some of the members of the class are given below:

Class name: Trans
Data members/instance variables:
arr[][]: to store integers in the matrix
m: integer to store the size of the matrix

Methods/Member functions:
Trans(int mm): parameterized constructor to initialize the data member m = mm
void fillarray(): to enter integer elements in the matrix
void transpose(): to create the transpose of the given matrix

 

void display(): displays the original matrix and the transposed matrix by invoking the method transpose()

Specify the class Trans giving details of the constructor(), void fillarray(), void transpose() and void display(). Define a main() function to create an object and call the functions accordingly to enable the task.

Java 
import java.util.Scanner;
class Trans{
    private int arr[][];
    private int m;
    public Trans(int mm){
        m = mm;
        arr = new int[m][m];
    }
    public void fillarray(){
        Scanner in = new Scanner(System.in);
        for(int i = 0; i < m; i++){
            for(int j = 0; j < m; j++){
                arr[i][j] = Integer.parseInt(in.nextLine());
            }
        }
    }
    public void transpose(){
        int b[][] = new int[m][m];
        for(int i = 0; i < m; i++){
            for(int j = 0; j < m; j++){
                b[i][j] = arr[j][i];
            }
        }
        arr = b;
    }
    public void display(){
        for(int i = 0; i < m; i++){
            for(int j = 0; j < m; j++){
                System.out.print(arr[i][j] + "\t");
            }
            System.out.println();
        }
    }
    public static void main(String[] args){
        Scanner in = new Scanner(System.in);
        System.out.print("Matrix size: ");
        int size = Integer.parseInt(in.nextLine());
        Trans obj = new Trans(size);
        obj.fillarray();
        System.out.println("ORIGINAL");
        obj.display();
        obj.transpose();
        System.out.println("TRANSPOSE");
        obj.display();
    }
}

Output

 
    
OUTPUT :

Matrix size: 3
11
5
7
8
13
9
1
6
20
ORIGINAL
11  5   7   
8   13  9   
1   6   20  
TRANSPOSE
11  8   1   
5   13  6   
7   9   20
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