Q16Multiple correct3 Marks1 Sep 2024

Let S = {u1, u2, u3, u4, u5} be a linearly independent subset of a vector space V. Select all true statements.

A

There exists a basis B for V such that S is a subset of B.

B

$\dim(V)$ >= 5.

C

span(S) = V.

D

S is a subset of every basis B.