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Normalize each column of a matrix

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Berbia
Berbia 2012-12-10
I have one doubt that, suppose if a matrix has zero mean and unit variance, then whether each of its columns has zero mean and unit variance or not..?
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Jan
Jan 2012-12-10
What is the "mean" of a matrix exactly? I do not think that this is mathematically defined.
Berbia
Berbia 2012-12-11
B = mean2(A)
here B is the "mean" value of matrix A.
My question is suppose if B is 0, then whether mean(A) gives a row vector of all values 0.

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Matt J
Matt J 2012-12-10
No. Take the matrix
A=[1 -1; 1 -1]
Clearly A(:) has zero mean and unit variance, but its columns individually do not.

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