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What is the term for a matrix whose columns are mutually orthogonal, but not necessarily othonormal?

I can't name such a matrix "orthogonal" because that would imply that all columns are unit vectors. By the way, why don't we name these matrices "orthonormal" instead of "orthogonal"? But that fight is over, I guess.

In other words, what is the term for a matrix $A$ for which $A^TA$ is a diagonal matrix, but not necessarily $I$?

One famous example are Hadamard matrices. I'd like to have a shorter term than "matrix whose rows are mutually orthogonal".

For my purpose it would be sufficient to have such a term for square matrices, but I'm also interested in a more general term that also covers non-square matrices.

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I guess you've seen this discussion – J.J. Green 15 mins ago

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