Q. Write an algorithm and program to subtract two matrices.
Solution :In this program, you'll learn to subtract two matrices using Nested loop and display it using Nested loop.
Matrices:- A two dimensional(2D) array is known as Matrix. It can have m number of rows and n number of columns where m and n are two integer values.
Matrix Subtraction algorithm
//Algorithm to Subtract Two Matrices. START Step 1 -> Input matrix 1 and matrix 2. Step 2 -> If the number of rows and number of columns of matrix 1 and matrix 2 are equal then execute step 3 else subtraction not possible Step 3 -> for i=1 to rows[matrix 1] for j=1 to columns [matrix 1] Input matrix 1 [i,j] Input matrix 2 [i,j] matrix 3 [i,j]= matrix 1 [i,j] - matrix 2 [i,j]; step 4-> Display matrix 3 [i,j]; STOP
Matrices Subtraction Program
//Program to subtract Two Matrices In C. #include <stdio.h> int main() { int mat1[2][2], mat2[2][2], sub[2][2], i, j; for(i=0;i<2;i++) { for(j=0;j<2;j++) { scanf("%d",&mat1[i][j]); scanf("%d",&mat2[i][j]); sub[i][j]=mat1[i][j]-mat2[i][j]; } } for(i=0;i<2;i++) { for(j=0;j<2;j++) {printf("%d\t",sub[i][j]); } printf("\n"); } return 0; }
//Program to subtract Two Matrices In C++. #include <iostream> using namespace std; int main() { int mat1[2][2], mat2[2][2], sub[2][2], i, j; for(i=0;i<2;i++) { for(j=0;j<2;j++) { cin>>mat1[i][j]; cin>>mat2[i][j]; sub[i][j]=mat1[i][j]-mat2[i][j]; } } for(i=0;i<2;i++) { for(j=0;j<2;j++) {cout<<sub[i][j]<<"\t"; } printf("\n"); } return 0; }
//Program to Subtract Two Matrices In Java. import java.util.*; public class Main { public static void main(String[] args) { Scanner in = new Scanner(System.in); int mat1[][] = new int[2][2]; int mat2[][] = new int[2][2]; int sub[][] = new int[2][2]; int i,j; for (i = 0; i < 2; i++) { for (j = 0; j < 2; j++) { mat1[i][j] = in.nextInt(); mat2[i][j] = in.nextInt(); sub[i][j]=mat1[i][j]-mat2[i][j]; } } for (i = 0; i < 2; i++) { for (j = 0; j < 2; j++) { System.out.print(sub[i][j]+"\t"); } System.out.println(); } } }
//Program to Subtract Two Matrices In Python. mat1 = [[2,4], [6,8]] mat2 = [[1,3], [5,7]] sub = [[0,0], [0,0]] for i in range(len(mat1)): for j in range(len(mat1[0])): sub[i][j] = mat1[i][j] - mat2[i][j] for r in sub: print(r)
//Program to Subtract Two Matrices In C#. using System; public class LFC { public static void Main() { int i, j; int[, ] mat1 = new int[2, 2]; int[, ] mat2 = new int[2, 2]; int[, ] sub = new int[2, 2]; for (i = 0; i < 2; i++) { for (j = 0; j < 2; j++) { mat1[i, j] = Convert.ToInt32(Console.ReadLine()); mat2[i, j] = Convert.ToInt32(Console.ReadLine()); } } for (i = 0; i < 2; i++) for (j = 0; j < 2; j++) sub[i, j] = mat1[i, j] - mat2[i, j]; for (i = 0; i < 2; i++) { Console.Write("\n"); for (j = 0; j < 2; j++) Console.Write("{0}\t", sub[i, j]); } Console.Write("\n\n"); } }
//Program to Subtract Two Matrices In PHP. <?php $mat1=array(array()); $mat2=array(array()); $sub=array(array()); $m=2; $n=1; for($i=0;$i<2;$i=$i+1) { for($j=0;$j<2;$j=$j+1) { $mat1[$i][$j]=$m; echo $mat1[$i][$j]." "; $m=$m+2; $mat2[$i][$j]=$n; echo $mat2[$i][$j]." "; $n=$n+2; } } echo"<br/>"; for($i=0;$i<2;$i=$i+1) { for($j=0;$j<2;$j=$j+1) { $sub[$i][$j]=$mat1[$i][$j]-$mat2[$i][$j]; echo $sub[$i][$j]." "; } } ?>
//Program to Subtract Two Matrices In C. #include <stdio.h> int main() { int mat1[2][2], mat2[2][2], sub[2][2], i, j; for(i=0;i<2;i++) { for(j=0;j<2;j++) { scanf("%d",&mat1[i][j]); scanf("%d",&mat2[i][j]); sub[i][j]=mat1[i][j]-mat2[i][j]; } } for(i=0;i<2;i++) { for(j=0;j<2;j++) {printf("%d\t",sub[i][j]); } printf("\n"); } return 0; }
Output
mat1 mat2 3 2 6 4 9 6 9 8 sum matrix : 1 2 3 1
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