I'm currently reading "Introduction to tensors and Group Theory for Physicists". I'm stuck on a question posed on dual spaces.(adsbygoogle = window.adsbygoogle || []).push({});

The author gives the trace as an example of a linear functional on the vector space M_n(ℝ) (n x n matrices with real entries) and then asks how one would find the components of the element of the dual space that takes an n x n matrix to a real number-the trace.

I have no idea how to solve this problem, any help would be much appreciated.

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# Components of the trace operation

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