covariance of a matrix which is not a square matrix

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we have a matrix of dimension (65536X12) how can we find covariance of such a matrix which is not a square matrix

回答(1 个)

Andrew Newell
Andrew Newell 2011-4-4
As was true of your previous post, your question is not clear. Do you have 65536 measurements each of 12 variables, or the reverse? If the former, then
cov(M)
(where M is your matrix) will give you a 12 x 12 covariance matrix for the variables. If the latter,
cov(M')
will give you a 65536 x 65536 matrix. Again, I recommend reading this discussion of covariance.
  4 个评论
Andrew Newell
Andrew Newell 2011-4-5
I don't suppose it's a coincidence that 65536 = 256^2. Are you trying to correlate each pixel with each other pixel?
Andrew Newell
Andrew Newell 2011-4-5
Maybe I should also ask - why are you trying to do this?

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