# Two-part question on a finite dimensional normed linear space

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1 Suppose that  is a finite dimensional normed linear space.

a) Let be a basis for . Define Prove that 1, the closed unit ball in , is compact in (, )

b) Prove that any two norms on  are equivalent.

https://brainmass.com/math/linear-algebra/two-part-question-finite-dimensional-normed-linear-space-34121

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1 Suppose that is a finite dimensional normed linear space.

a) Let ...

#### Solution Summary

This solution is comprised of a detailed explanation to prove the functions. The two norms of equivalents are proved.

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