# Math Help - linearly independent

1. ## linearly independent

Let A and B be subset of $R$ and consider the list
$L : x_A,x_B,x_a_(_i_n_t_e_r_s_e_t_c_t_i_o_n_)_b,$
of vectors in $F(R)$

(a) Show that if the condition A(∩)B is not = ∅ and A is not a subset of B and B is not a subset of A

Show that it is independent.

Pls help.

2. I have this question as well... just to clairfy the X_A and such are called characteristic functions of A, etc