**Python 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. $A_{ij} = B_{ij}$ for each $i \in m$ and $j \in n$.

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

#*************************************** # Alphabetacoder.com # Python program to check equality of two matrices #*************************************** # initialize variable flag=0 # take input of the order of first matrix print("Enter the number of row and column of first matrix=") m, n=map(int, input().split()) # declare first matrix of m x n order with zero initialization A = [[0 for j in range(n)] for i in range(m)] print("Enter the first matrix of order ",m," x ",n,"=") #take input of the elements first matrix for i in range(m): for j in range(n): A[i][j]=int(input()) #take input of the order of second matrix print("Enter the number of row and column of second matrix=") p, q=map(int, input().split()) # declare second matrix of p x q order with zero initialization B = [[0 for j in range(q)] for i in range(p)] #take input of the second matrix print("Enter the second matrix of order ",p," x ",q,"="); for i in range(p): for j in range(q): B[i][j]=int(input()) # check if orders of matrices are same # if the orders are not same then check each corresponding elements if m!=p or n!=q: print("Matrices are of different order,hence not equal") flag=1 else: #check equality of each corresponding elements for i in range(m): for j in range(n): if A[i][j]!=B[i][j]: #inequal element spotted print("Matrices are not equal. Element mismatch at row ",(i+1)," column ",(j+1)) flag=1 break if flag==1: break # flag=0 means that each corresponding elements of both matrices are equal and # order of matrices are equal if flag==0: print("Matrices are equal")

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

3

Enter the number of row and column of second matrix=2 1

Enter the second matrix of order 2 x 1=

1

2

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

3

4

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

Enter the second matrix of order 2 x 2=

1

2

3

4

Matrices are equal

**Case 3:**

Enter the number of row and column of first matrix=1 2

Enter the first matrix of order 1 x 2=

1

5

Enter the number of row and column of second matrix=1 2

Enter the second matrix of order 1 x 2=

1

7

Matrices are not equal. Element mismatch at 1 row 2 column