Check Whether Given Matrix is a Toeplitz Matrix in Python

Suppose we have a matrix M, we have to check whether it is a Toeplitz matrix or not. As we know a matrix is said to be Toeplitz when every diagonal descending from left to right has the same value.

So, if the input is like

then the output will be True.

To solve this, we will follow these steps −

• for each row i except the last one, do
  • for each column except the last one, do
    • if matrix[i, j] is not same as matrix[i+1, j+1], then
      • return False
• return True

Let us see the following implementation to get better understanding −

Example

 Live Demo

class Solution:
   def solve(self, matrix):
      for i in range(len(matrix)-1):
         for j in range(len(matrix[0])-1):
            if matrix[i][j]!=matrix[i+1][j+1]:
               return False
      return True
ob = Solution()
matrix = [ [7, 2, 6], [3, 7, 2], [5, 3, 7]]
print(ob.solve(matrix))

Input

[[7, 2, 6],
[3, 7, 2],
[5, 3, 7]]

Output

True