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How do you prove V = (V^1)^1?

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Linear Algebra

Let V belonging to R^n be a subspace. Show that V belongs to (V^1)^1. Do you think more is true?

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Solution Summary

This solution is a proof regarding a subspace provided in an attached Word document.

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Please see the attachment.

Proof:
We know that . means that is perpendicular to . In another word, .
Now we want to show that 。
For any and any , we have . ...

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