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# Equivalent Norm

Show that any two norms are equivalent in a finite dimensional real vector space V. i.e. There exists C1 and C2 such that

||v||1 ≦ C2 ||v||2

and

||v||2 ≦ C1 ||v||1

for all v in V.

Update:

||v||1 less than or equal to C2 ||v||2

and

||v||2 less than or equal to C1 ||v||1

### 2 Answers

Rating

- AndrewLv 61 decade agoFavorite Answer
問題：Show that any two norms are equivalent in a finite dimensional real vector space V

答案：

Source(s): 從不抄襲。 - myisland8132Lv 71 decade ago
If a man can do this question, then the possibility that he dosen't know English is very low

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