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A Python program that prints an identity matrix.

Identity matrix: A square matrix in which all the diagonal elements are 1’s and all the remaining elements in that matrix are 0’s. Then that square matrix is called an Identity matrix.

# Identity matrix of the required size using for loops.

N=int(input("Enter a number: "))
for x in range(0,N):
    for y in range(0,N):
        if(x==y):
            print("1"," ",end=" ")
        else:
            print("0"," ",end=" ")
    print( )

Output

Enter a number: 3

1   0   0

0   1   0

0   0   1

 

 

Enter a number: 5

1   0   0   0   0

0   1   0   0   0

0   0   1   0   0

0   0   0   1   0

0   0   0   0   1

 # To print identity matrix using functions.

def iden_mat(size): 
	for row in range(0, size): 
		for col in range(0, size): 
			if (row == col): 
				print("1 ", end=" ") 
			else: 
				print("0 ", end=" ") 
		print( ) 
size = 4
iden_mat(size)

Output

1  0  0  0

0  1  0  0

0  0  1  0

0  0  0  1

#To check whether the given matrix is an identity.

def isIdentity(mat, N): 
	for row in range(N): 
		for col in range(N): 
			if (row == col and
				mat[row][col] != 1): 
				return False; 
			elif (row != col and
				mat[row][col] != 0): 
				return False; 
	return True; 
N = 4; 
mat = [[1, 0, 0, 0], 
	[0, 1, 0, 0], 
	[0, 0, 1, 0], 
	[0, 0, 0, 1]]; 
if (isIdentity(mat, N)): 
	print("It is an identity matrix "); 
else: 
	print("No, It is not an Identity matrix ");

Output

Yes, It is an identity matrix

 #A dict of tuples of two ints (x, y) are used to represent the matrix.

def iden_mat(size):
    return {(x, y):int(x == y) for x in range(size) for y in range(size)} 
size = 5
matrix = iden_mat(size)
print('\n'.join(' '.join(str(matrix[(x, y)]) for x in range(size)) for y in range(size)))

Output

1 0 0 0 0

0 1 0 0 0

0 0 1 0 0

0 0 0 1 0

0 0 0 0 1

 

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