It's been so long since I thought about this, I just need to know if this is correct.(adsbygoogle = window.adsbygoogle || []).push({});

If I have the matrix representation of a linear transformation between vector spaces V and W, and I take the transpose of the matrix, am I in essence constructing the matrix representation of a corresponding transformation from W* to V* (where * denotes dual space)?

And if I take the transpose of a row vector in V, can I think of the resulting column vector as an element of V*?

Thanks in advance!

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# Vectors, dual vectors

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