# [Solved] Given an m x n matrix, return true if the matrix is Toeplitz. Otherwise, return false. A matrix is Toeplitz if every diagonal from top-left to bottom-right has the same elements.

## Question

Given an `m x n` `matrix`, return `true` if the matrix is Toeplitz. Otherwise, return `false`.

A matrix is Toeplitz if every diagonal from top-left to bottom-right has the same elements.

Example 1:

```Input: matrix = [[1,2,3,4],[5,1,2,3],[9,5,1,2]]
Output: true
Explanation:
In the above grid, the diagonals are:
"", "[5, 5]", "[1, 1, 1]", "[2, 2, 2]", "[3, 3]", "".
In each diagonal all elements are the same, so the answer is True.
```

Example 2:

```Input: matrix = [[1,2],[2,2]]
Output: false
Explanation:
The diagonal "[1, 2]" has different elements.
```

Constraints:

• `m == matrix.length`
• `n == matrix[i].length`
• `1 <= m, n <= 20`
• `0 <= matrix[i][j] <= 99`

• What if the `matrix` is stored on disk, and the memory is limited such that you can only load at most one row of the matrix into the memory at once?
• What if the `matrix` is so large that you can only load up a partial row into the memory at once?

## Python Solution

```class Solution:
def isToeplitzMatrix(self, matrix: List[List[int]]) -> bool:
for r in range(len(matrix)-1):
for c in range(len(matrix)-1):
if matrix[r][c]!=matrix[r+1][c+1]:
return (False)
return(True)        ``` ##### Abhishek Sharma

Started my Data Science journey in my 2nd year of college and since then continuously into it because of the magical powers of ML and continuously doing projects in almost every domain of AI like ML, DL, CV, NLP.

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