In java Write a complete class named MatMath that will provide the following int

Question

In java

Write a complete class named MatMath that will provide the following integer matrix operations: MatMath transpose(a) - returns the transpose of a where a is a matrix. (A^T)_i, j = A_j, I MatMath identity(n) - returns an identity matrix of size n, n > 1. MatMath.vectorProduct(a, x)-returns the vector product of matrix a and vector x, vector = 1D array. A m times n matrix, x n-vector, y m-vector y_i = A_i1 x_1 + ... + A_in x_n I = 1, ..., m MatMath diagonal(a)-returns the diagonal elements of an n times n matrix a as a vector. MatMath trace(a)-returns the sum of the diagonal elements of an n times n matrix. MatMath element(a)-returns all the elements column-wise of an n times m matrix a as a vector. MatMath print (a)-prints the matrix a with one row per line, nicely formatted. MatMath.print(v)- prints the vector v in one row, nicely formatted. MatMath equals(a, b)-compare matrix a with matrix b. Write a main method that will test out all the above operations.

Explanation / Answer

ANSWER - i write this program in java according to the question requirements .

package my_chegg_package;
import java.util.Arrays;
import java.util.Enumeration;
import java.util.Scanner;
import java.util.Vector;

public class MatMath {

  
   public static void main(String[] args) {
       int m,n,c,d;
       Scanner in = new Scanner(System.in);
         System.out.println("Enter the number of rows and columns of matrix");
         m = in.nextInt();
         n = in.nextInt();

         int matrix1[][] = new int[m][n];

          System.out.println("Enter the elements of matrix");
  
          for ( c = 0 ; c < m ; c++ )
             for ( d = 0 ; d < n ; d++ )
                matrix1[c][d] = in.nextInt();
     
  
         int transpose[][] = new int[n][m];

       transpose =MatMath.transpose(matrix1,m,n);
       System.out.println("Transpose of entered matrix:-");

         for ( c = 0 ; c < n ; c++ )
         {
            for ( d = 0 ; d < m ; d++ )
                  System.out.print(transpose[c][d]+" ");

            System.out.print(" ");
         }
       
         /* here is logic to get sum of the diagonal elements of a matrix*/
         int sum=MatMath.trace(matrix1,m,n);
         System.out.println("sum of the diagonal elements of a matrix= "+sum+"");
       
       
         /* here the logic to get diagonal elements of a matrix as a vector */
            Vector<Integer> v= MatMath.diagonal(matrix1, m, n);
            Enumeration<Integer> vEnum = v.elements();
            System.out.println(" Elements in vector:");
            while(vEnum.hasMoreElements())
            {
               System.out.print(vEnum.nextElement() + " ");
            }
             
            System.out.println(" "); /* simple to print in new line */
          
          
          
         /* here the logic to print the matrix with one row per line */
             MatMath.print(matrix1,m, n);
       
       
       
       
         /* here the logic start for identity metrix */
         System.out.println("now to create an indentity matrix :- ");
         System.out.println("Enter size of matrix : ");
         int size=in.nextInt();
         int matrix2[][]=Identity(size);

         for (int i=0 ; i < matrix2.length ; i++)
         {System.out.println();
         for (int j=0 ; j < matrix2[i].length ; j++)
         {
         System.out.print(matrix2[i][j]+" ");
         }
         }
      
      
   }

public static int[][] transpose(int[][] matrix,int m,int n)
{
   int c,d;

     int transpose[][] = new int[n][m];

     for ( c = 0 ; c < m ; c++ )
     {
        for ( d = 0 ; d < n ; d++ )             
           transpose[d][c] = matrix[c][d];
     }

  
   return transpose;
}

public static int[][] Identity(int size) {
   int[][] matrix = new int[size][size];
   for(int i = 0; i < size; i++)
   for(int j = 0; j < size; j++)
   matrix[i][j] = (i == j) ? 1 : 0;
   return matrix;
   }

public static int trace(int[][] matrix,int m,int n){

    int sum = 0;

    for(int x = 0; x <m; x++){
        for(int y = 0; y < n; y++){
            if(x == y){
             sum = sum + matrix[x][y] ;
            }
        }
    }
    return sum;
}
public static Vector<Integer> diagonal(int[][] matrix,int m,int n){

    int d=0;
    Vector<Integer> v = new Vector<Integer>();
    for(int x = 0; x <m; x++){
        for(int y = 0; y < n; y++){
            if(x == y){
             d= matrix[x][y] ;
             v.addElement(new Integer(d));
            }
        }
    }

    return v;
}
public static void print(int[][] matrix,int m,int n)
{
   int c,d;
   for ( c = 0 ; c < m ; c++ )
    {
       for ( d = 0 ; d < n ; d++ )
       {
           System.out.println(matrix[c][d] + "" );
       }
       System.out.println(" ");
    }

}
}

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