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
*********************************************/
#include <iostream>

using namespace std;

int main() {
int m, n, p, q, flag = 0, i, j;
int A[10][10] = {0}, B[10][10] = {0};

//take input of the order of first matrix
cout << "Enter the number of row and column of first matrix=";
cin >> m;
cin >> n;

//take input of the first matrix
cout << "Enter the first matrix of order " << m << " x " << n << " = \n";
for (i = 0; i < m; i++) {
for (j = 0; j < n; j++) {
cin >> A[i][j];
}
}
//take input of the order of second matrix
cout << "Enter the number of row and column of second matrix=";
cin >> p;
cin >> q;

//take input of the first matrix
cout << "Enter the first matrix of order " << p << " x " << q << " = \n";
for (i = 0; i < p; i++) {
for (j = 0; j < q; j++) {
cin >> B[i][j];
}
}

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


Output

#### Case 1:

Enter the number of row and column of first matrix=3 3

Enter the first matrix of order 3 x 3=

1 2 3

4 5 6

7 8 9

Enter the number of row and column of second matrix=2 3

Enter the second matrix of order 2 x 3=

8 0 5

6 4 1

Matrices are of different order,hence not equal

#### Case 2:

Enter the number of row and column of first matrix=2 2

Enter the first matrix of order 2 x 2=

1 2

4 5

Enter the number of row and column of second matrix=2 2

Enter the second matrix of order 2 x 2=

1 2

4 5

Matrices are equal

#### Case 3:

Enter the number of row and column of first matrix=2 2

Enter the first matrix of order 2 x 2=

1 3

5 6

Enter the number of row and column of second matrix=2 2

Enter the second matrix of order 2 x 2=

1 3

5 7

Matrices are not equal. Element mismatch at 2 row 2 column