(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose A is a real nxn matrix and f: R^n --> R is definted by f(v)=v^tAv (where v^t denotes the transpose of v). Prove that the derivative of f satisfies

(f'(v))(w) = v^t (A+A^t)w

2. Relevant equations

3. The attempt at a solution

I'm kinda lost here and I really don't know where to start. I know I have to show that the derivative "is" the linear map v^t(A+A^t) but I think the transpose is confusing me. Thanks in advance!

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# Real analysis differentiation of a real function defined by a matrix

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