Matrix:
-Multidimensional Array
-Matrix consist of the rows and columns.
Syntax-
array[row][column]
//Martix with numbers of rows and columns
Multiplication of two matrix:
Condition: Number of column in first matrix=number of rows in second matrix
Example-
a[2,2]={2,2,2,2}
b[2,2]={1,1,1,1}
a*b={4,4,4,4}
program-
#include< stdio.h>
int main()
{
int a[10][10],b[10][10],c[10][10],r1,c1,r2,c2,i,j,k,t=0;
printf("Enter rows and columns for Matrix_1\n");
scanf("%d%d",&r1,&c1);
//input in matrix_1
printf("Enter %d number in matrix_1\n",r1*c1);
for(i=0;i< r1;i++)
{
for(j=0;j< c1;j++){
scanf("%d",&a[i][j]);
}
}
printf("Enter rows and columns for Matrix_2\n");
scanf("%d%d",&r2,&c2);
//input in matrix_2
printf("Enter %d number in matrix_2\n",r2*c2);
for(i=0;i< r2;i++)
{
for(j=0;j< c2;j++){
scanf("%d",&b[i][j]);
}
}
//MUltiply matrix_2 by matrix_1
if(c1==r2)
{
for(i=0;i< r1;i++)
{
for(j=0;j< c2;j++)
{
t=0;
for(k=0;k< r1;k++)
{
t=t+a[i][k]*b[k][j];
}
c[i][j]=t;
}
}
printf("After multiplication\n");
for(i=0;i< r1;i++)
{
for(j=0;j< c2;j++)
{
printf("%d ",c[i][j]);
}
printf("\n");
}
}
else
printf("Multiplication of these two matrix is not possible");
}
Enter rows and columns in matrix_1
2 2
Enter 4 number in matrix_1
2 2 2 2
Enter rows and columns in matrix_2
2 2
Enter 4 number in matrix_2
1 1 1 1
After multiplication
4 4
4 4
Enter rows and columns in matrix_1
2 2
Enter 4 number in matrix_1
2 2 2 2
Enter rows and columns in matrix_2
3 3
Enter 9 number in matrix_2
1 1 1 1 1 1 1 1 1
Multiplication of these two matrix is not possible