### Overview:

First of all in this article, I will introduce you with the mathematical concept Matrix and Arithmatical operation Multiplication. After that I will explain What is an array? and What is Multidimensional Array? Moreover, I will show Demonstration for multiplication of matrices. At last, I will show a C program to multiply two matrices with output in front of you.

### Table of contents:

- What is Matrix?
- What is Multiplication?
- What is an Array?
- What is multi dimensional array?
- Demonstration for multiplication of matrices.
- C program to multiply two matrices
- Conclusion

### What is Matrix?

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns. The matrix of m rows and n column is known as m X n matrix. Matrices are often denoted using capital letters such as A, B and C. For example, a 3 X 3 matrix is looks like as follows:

### What is Multiplication?

Multiplication is the process of multiplying two numbers or matrices. The multiplication of two matrices A and B is denoted as A * B.

### What is an Array?

An array is a container for the collection of items that stores these items at contiguous memory locations. An array is a variable that can store multiple values. For example, if you want to store 100 integers, you can create an array for it.

### What is multi dimensional array?

Multidimensional array is an array of arrays. You can declare a two-dimensional (3d) array. For example, float x[3][4]; Similarly, you can declare a three-dimensional (3d) array. For example, float y[2][4][3];

### Demonstration for multiplication of matrices.

### C program to multiply two matrices

#include <stdio.h> #define SIZE 3 // Size of the matrix int main() { int A[SIZE][SIZE]; // Matrix 1 int B[SIZE][SIZE]; // Matrix 2 int C[SIZE][SIZE]; // Resultant matrix int row, col, i, sum; /* Input elements in first matrix from user */ printf("Enter elements in matrix A of size %dx%d: \n", SIZE, SIZE); for(row=0; row<SIZE; row++) { for(col=0; col<SIZE; col++) { scanf("%d", &A[row][col]); } } /* Input elements in second matrix from user */ printf("\nEnter elements in matrix B of size %dx%d: \n", SIZE, SIZE); for(row=0; row<SIZE; row++) { for(col=0; col<SIZE; col++) { scanf("%d", &B[row][col]); } } /* * Multiply both matrices A*B */ for(row=0; row<SIZE; row++) { for(col=0; col<SIZE; col++) { sum = 0; /* * Multiply row of first matrix to column of second matrix * and store sum of product of elements in sum. */ for(i=0; i<SIZE; i++) { sum += A[row][i] * B[i][col]; } C[row][col] = sum; } } /* Print product of the matrices */ printf("\nProduct of matrix A * B = \n"); for(row=0; row<SIZE; row++) { for(col=0; col<SIZE; col++) { printf("%d ", C[row][col]); } printf("\n"); } return 0; }

**Conclusion: **

This Program multiply the elements of the two 3 x 3 matrices.