$$ \left\{\begin{array}{l} \max _{V \in \mathbb{R}^{n \times d}} \operatorname{Tr}\left[V^{T} A V\right]=\lambda_{1}+\cdots+\lambda_{d} \\ V^{T} V=I \end{array}\right. $$
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1You've asked this question before and got some responses in the comments. If you want a different response, say something different. For instance, is there something not addressed by these comments that you are looking for? – Ben Grossmann Apr 08 '21 at 15:52
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By the way, this is not how the term "unitary" is typically used. – Ben Grossmann Apr 08 '21 at 15:53