C# program to check the equality of two matrices has been shown here. Two matrices $[A]_{m \times n}$ and $[B]_{p \times q}$ are considered to be equal if both of the following conditions are satisfied

(i) Number of rows and columns are same for both of the matrices i.e. $m = p$ and $n = q$

(ii) Each elements of $A$ is equal to corresponding element of $B$ i.e. $A_{ij} = B_{xy}$ for each $i \in m$, $j \in n$, $x \in p$, $y \in q$, $i = x$ and $j = y$.

#### Page content(s):

1. Program & Output: Iterative approach

1. Algorithm

2. Pseudocode

3. Time Complexity

## 1. C# Program to check the equality of two matrices

Code has been copied
/*********************************************
alphabetacoder.com
C# program to check equality of two matrices
**********************************************/

using System;

namespace MatrixEquality {
class Program {
static void Main(string[] args) {
//declare and initialize variable
int m, n, p, q, flag = 0, i, j;
int[, ] A = new int[10, 10];
int[, ] B = new int[10, 10];

//take input of the order of first matrix
Console.WriteLine("Enter the number of row and column of first matrix=");

//take input of the first matrix
Console.WriteLine("Enter the first matrix of order " + m + " x " + n + " = ");
for (i = 0; i < m; i++) {
for (j = 0; j < n; j++) {
}
}

//take input of the order of second matrix
Console.WriteLine("Enter the number of row and column of second matrix=");

//take input of the second matrix
Console.WriteLine("Enter the first matrix of order " + p + " x " + q + " = ");
for (i = 0; i < p; i++) {
for (j = 0; j < q; j++) {
}
}

// check if order of matrices are same
// if not same order then check each corresponding elements
if (m != p || n != q) {
Console.WriteLine("\nMatrices are of different order,hence not equal");
flag = 1;
} else {
//check equality of each corresponding elements
for (i = 0; i < p; i++) {
for (j = 0; j < q; j++) {
if (A[i, j] != B[i, j]) {
// inequality spotted
Console.WriteLine("\nMatrices are not equal. Element mismatch at " + i + 1 + " row " + j + 1 + " column");
flag = 1;
break;
}
}
if (flag == 1)
break;
}
}
if (flag == 0)
Console.WriteLine("\nMatrices are equal");

// wait for user to press any key
}
}
}


Output

#### Case 1:

Enter the number of row and column of first matrix=

2

2

Enter the first matrix of order 2 x 2 =

1

2

3

4

Enter the number of row and column of second matrix=

2

3

Enter the first matrix of order 2 x 3 =

1

2

3

4

5

6

Matrices are of different order,hence not equal