Toeplitz Matrix

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.

Follow up:

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?

Example 1

1 2 3 4
5 1 2 3
9 5 1 2

Inputmatrix = [[1,2,3,4],[5,1,2,3],[9,5,1,2]]

Outputtrue

In the grid, each diagonal from top-left to bottom-right has identical elements, so the matrix is Toeplitz.

Example 2

1 2
2 2

Inputmatrix = [[1,2],[2,2]]

Outputfalse

The diagonal [1, 2] has different elements.

Constraints