Let S be a subset of R5 which is linearly independent Then S

Let S be a subset of R^5 which is linearly independent. Then S Can have any number of vectors (except zero 0). Must consist of at least five vectors. Must have at most five vectors. Must span R^5. Let S be a subset of R^5 which is a basis for R^5. Then S Must be linearly independent. Must consist at most five vectors. Must have exactly five vectors. Must span R^5. Can have any number of vectors (except zero).

Solution

6. c)

If S is a subset of R^n, then it has must have atmost n vectors.

Here S is a subset of R^5, then it has must have atmost 5 vectors.