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By Etsrep78328 (Etsrep78328) on Saturday, July 31, 2004 - 02:29 pm: Edit |

If Vn (the "n" is a subscript) is the real vector space of all n-tuples of real numbers for each n > 1, which of the following must be true?

I. Every basis of Vn contains exactly n vectors.

II. Every basis of Vn is an orthogonal set of vectors.

III. Every set of n + 1 vectors of Vn is a linearly dependent set.

(A) I only

(B) II only

(C) I and II

(D) I and III

(E) II and III

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