**Sum of Diagonals elements in a Matrix**

**Sum of Diagonals elements in a Matrix**

Write a C++ Program to Find Sum of Diagonals elements in a Matrix. Here’s simple Program to Find Sum of Diagonals elements in a Matrix 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.

Below is the source code for C++ Program to Find Sum of Diagonals elements in a Matrix which is successfully compiled and run on Windows System to produce desired output as shown below :

**SOURCE CODE : :**

**SOURCE CODE : :**

/* C++ Program to Find Sum of Diagonals elements in a Matrix */ #include<iostream> using namespace std; int main() { int a[10][10],d1sum=0,d2sum=0,m,i,j; cout<<"Enter size of matrix :: "; cin>>m; cout<<"\nEnter Elements to Matrix Below :: \n"; for(i=0;i<m;i++) { for(j=0;j<m;++j) { cout<<"\nEnter a["<<i<<"]["<<j<<"] Element :: "; cin>>a[i][j]; } } cout<<"\nThe given matrix is :: \n\n"; for (i = 0; i < m; ++i) { for (j = 0; j < m; ++j) { cout<<"\t"<<a[i][j]; } printf("\n\n"); } for(i=0;i<m;++i) for(j=0;j<m;++j) { if(i==j) d1sum+=a[i][j]; if(i+j==(m-1)) d2sum+=a[i][j]; } cout<<"\nSum of 1st diagonal is :: "<<d1sum; cout<<"\n\nSum of 2nd diagonal is :: "<<d2sum; return 0; }

### OUTPUT : :

/* C++ Program to Find Sum of Diagonals elements in a Matrix */ Enter size of matrix :: 3 Enter Elements to Matrix Below :: Enter a[0][0] Element :: 1 Enter a[0][1] Element :: 2 Enter a[0][2] Element :: 3 Enter a[1][0] Element :: 4 Enter a[1][1] Element :: 5 Enter a[1][2] Element :: 6 Enter a[2][0] Element :: 7 Enter a[2][1] Element :: 8 Enter a[2][2] Element :: 9 The given matrix is :: 1 2 3 4 5 6 7 8 9 Sum of 1st diagonal is :: 15 Sum of 2nd diagonal is :: 15 Process returned 0

Above is the source code for C++ Program to Find Sum of Diagonals elements in a Matrix which is successfully compiled and run on Windows System.The Output of the program is shown above .

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