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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.

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.

All Arrays are Matrix, but all Matrices or not an 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

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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