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linear algebra - What is the geometric interpretation of the transpose? - Mathematics Stack Exchange

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I can follow the definition of the transpose algebraically, i.e. as a reflection of a matrix across its diagonal, or in terms of dual spaces, but I lack any sort of geometric understanding of the

linear algebra - What is the geometric interpretation of the transpose? - Mathematics Stack Exchange Stack Internal Knowledge at work Bring the best of human thought and AI automation together at your work. Explore Stack Internal What is the geometric interpretation of the transpose? Ask Question Asked 15 years, 2 months ago Modified 11 months ago Viewed 63k times 228 $\begingroup$ I can follow the definition of the transpose algebraically, i.e. as a reflection of a matrix across its diagonal, or in terms of dual spaces, but I lack any sort of geometric understanding of the transpose, or even

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