**Multiply Two Matrices using array **

**Multiply Two Matrices using array**

Write a C++ Program to Multiply Two Matrices using array. Here’s simple Program to Multiply Two Matrices using array in C++ Programming Language.

*What is Matrix ?*

**Matrix representation** is a method used by a computer language to store matrices of more than one dimension in memory. C uses “Row Major”, which stores all the elements for a given row contiguously in memory.

*Two-dimensional Arrays : :*

The simplest form of multidimensional array is the two-dimensional array. A two-dimensional array is, in essence, a list of one-dimensional arrays. An m × n (read as m by n) order matrix is a set of numbers arranged in m rows and n columns.

To declare a two-dimensional integer array of size [x][y], you would write something as follows −

*type arrayName [ x ][ y ];*

Where **type** can be any valid C data type and **arrayName** will be a valid C identifier.

To multiply two matrices in C++ programming, you have to ask to the user to enter the first and second matrix elements.Now start multiplying the two matrices and store the multiplication result inside any variable say **sum**and finally store the value of sum in the third matrix say **mat3[ ][ ]**

Below is the source code for C++ Program to Multiply Two Matrices using array which is successfully compiled and run on Windows System to produce desired output as shown below :

**SOURCE CODE : :**

**SOURCE CODE : :**

/* C++ Program to Multiply Two Matrices using array */ #include<iostream> using namespace std; int main() { int arr1[5][5], arr2[5][5], arr3[5][5], sum=0, i, j, k,m,n; cout<<"Enter size of matrix ( Max:5 ) :: "; cin>>m; cout<<"\nEnter Elements to Matrix A Below :: \n"; for(i=0;i<m;i++) { for(j=0;j<m;++j) { cout<<"\nEnter arr1["<<i<<"]["<<j<<"] Element :: "; cin>>arr1[i][j]; } } cout<<"\nEnter Elements to Matrix B Below :: \n"; for(i=0;i<m;i++) { for(j=0;j<m;++j) { cout<<"\nEnter arr2["<<i<<"]["<<j<<"] Element :: "; cin>>arr2[i][j]; } } cout<<"\nMultiplying two matrices.....\n"; for(i=0; i<3; i++) { for(j=0; j<3; j++) { sum=0; for(k=0; k<3; k++) { sum = sum + arr1[i][k] * arr2[k][j]; } arr3[i][j] = sum; } } cout<<"\nMultiplication of two Matrices : \n\n"; for (i = 0; i < m; ++i) { for (j = 0; j < m; ++j) { cout<<"\t"<<arr3[i][j]; } printf("\n\n"); } return 0; }

**OUTPUT : :**

**OUTPUT : :**

/* C++ Program to Multiply Two Matrices using array */ Enter size of matrix ( Max:5 ) :: 3 Enter Elements to Matrix A Below :: Enter arr1[0][0] Element :: 1 Enter arr1[0][1] Element :: 2 Enter arr1[0][2] Element :: 3 Enter arr1[1][0] Element :: 4 Enter arr1[1][1] Element :: 5 Enter arr1[1][2] Element :: 6 Enter arr1[2][0] Element :: 7 Enter arr1[2][1] Element :: 8 Enter arr1[2][2] Element :: 9 Enter Elements to Matrix B Below :: Enter arr2[0][0] Element :: 1 Enter arr2[0][1] Element :: 2 Enter arr2[0][2] Element :: 3 Enter arr2[1][0] Element :: 4 Enter arr2[1][1] Element :: 5 Enter arr2[1][2] Element :: 6 Enter arr2[2][0] Element :: 7 Enter arr2[2][1] Element :: 8 Enter arr2[2][2] Element :: 9 Multiplying two matrices..... Multiplication of two Matrices : 30 36 42 66 81 96 102 126 150 Process returned 0

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why did you insert k equal to 3?

maybe i want select matrix [5][5] as example for test the code.

i cant figure out why input the value of k equal to 3.please explain if it possible.