# Compare two matrices' Hamming distace

It may seem a silly question that, how to compare two matrices with the same dimension by Hamming distance?

$$d^{HD}(i,j) = \sum_{k=0}^{n-1} [y_{ik}\neq y_{jk} ]$$

• Is it Simply sum(abs(B-A)) where A and B are the matrices?
• Is it used for weighted matrices or just used for binary ones?

In some packages like Scipy, pdist(X,"hamming")

Computes the normalized Hamming distance, or the proportion of those vector elements between two n-vectors u and v which disagree. To save memory, the matrix X can be of type boolean. The output is a matrix n by n(squareform).

I don't know how to apply for matrices?