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The ones who are crazy enough to think they can change the world are the ones who do.
- Steve Jobs

C Matrices Multiplication

Multiplication of Array

What is matrix?

In mathematics, a matrix is a collection of numbers arranged into a fixed number of rows and colums. The numbers arranged in a matrix usually a real numbers. In general, matrices can contain complex numbers as well, but it's rarest one to see. Some examples of matrix format are given below.

2 x 2
1  1.15
1  0.41

3 x 2
1  hello
1  world
1  0.5  
3 x 3
1  1  matrix
1  1  0.2   
1  1  1     

What is Array?

Arrays are one of a kind of data structure because arrays defines the way of arranging the data, which allows us to manipulated the data in interesting ways.Array is a collection of data, which is very similar to a matrix but a difference is that array can hold only data of similar datatypes ie) We could have an array of intergers or an array of characters or an array of floating point.

3 x 3
1  1  1
1  1  1
1  1  1
3 x 3
0.3  0.2  0.1
0.2  0.3  0.2
0.1  0.1  0.3
3 x 3
a  b  c
d  e  f
g  h  i

Array vs Matrix

All Arrays are Matrix, but all Matrices or not an Array

C Program - Multiplication of Array

Lets code a C program to multiplication of two array matrices

c-matrices-multiplication.c
#include <stdio.h>
int main()
{
int a[10][10], b[10][10];
int num1, num2, num3, num4, i, j, k, res = 0;
printf("Enter the order of matrix A up to (10 x 10)\n");
scanf("%d%d", &num1, &num2);
printf("Enter your Matrix A of order %x %d\n", num1, num2);
for(i = 0; i < num1; i++)
{
for(j=0; j < num2; j++)
{
scanf("%d", &a[i][j]);
}
}
printf("\nEnter the order of matrix B upto (10 x 10)\n");
scanf("%d%d", &num3, &num4);
if(num2 == num3)
{
printf("Enter your Matrix A of order %x %d\n", num3, num4);
for(i = 0; i < num3; i++)
{
for(j = 0; j < num4; j++)
{
scanf("%d", &b[i][j]);
}
}
}
else
{
printf("Sorry matrix of order (%dx%d) * (%dx%d) is impossible", num1, num2, num3, num4);
return 0;
}
printf("\n Matrix Multiplication \n");
for(i = 0; i < num1; i++)
{
for(j = 0; j < num4; j++)
{
for(k = 0; k < num2; k++)
{
res = res + (a[i][k] * b[k][j]);
}
printf("%d ",res);
res = 0;
}
printf("\n");
}
return 0;
}
Enter the order of matrix up to (10 x 10) : 
4 2 
Enter the Elements of matrix A :
1   2
3   4
5   6
7   8
Enter the Elements of matrix B :
2   2   4
9   8   7   6
5   4   3   2
Matrix Multiplication:
19   16   13   10
47   40   33   36
75   64   53   42
103  88   73   58

Note:

Here we used two for loops to collect the values in matrix form for an array a[][]. Same procedure is repeated to collect the values in matrix form for an array b[][]. Now we used 3rd set of three for loops to display the multiplication of two matrices without storing a multiplied values in any temperary array for your convenience.

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