If we know that a given vector space V has dimension n which

If we know that a given vector space V has dimension n, which statement is NOT sufficient to show that a set of vectors S is not a basis for V? S has n vectors. S has fewer than n vectors S has more than n vectors S is not a linearly independent set of n vectors

Solution

S has n vectors .

Any set S containing n vectors may be a basis or may not be according as S is linearly independent or dependent .

 If we know that a given vector space V has dimension n, which statement is NOT sufficient to show that a set of vectors S is not a basis for V? S has n vectors

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