If v1 v2 vp span Rn then p lessthanorequalto n If v1 v2 vp

If {v_1, v_2, ..., v_p} span R^n, then p lessthanorequalto n. If {v_1, v_2, ..., v_p} is an independent set in R^n, then p lessthanorequalto n. I only II only I and II neither I nor II.

Solution

Only 2 is the valid argument. Combination of first and second are contradictory. If both holds the the given set will form a basis for Rn. With n elements as it will be the largest independent set.