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Differentiation with matrices/vectors

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Mar5-13, 08:57 AM
P: 1,212

I'm trying to understand this proof:

Can someone quickly talk me through the differentiation step, bearing in mind I've never learn how to differentiate with respect to a vector?

Most confusing for me is:

1. why are they differentiating with respect to the transpose b' rather than just b?
2. where does the -2X'y term come from?
3. is there any assumption here that X is square?

Thanks for any help,
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