Answer:
True
Step-by-step explanation:
Let B={[tex]v_1, v_2,\cdots,v_k,0[/tex]} a set of vectors containing the zero vector.
B is linear dependent if exist scalars [tex]a_0,a_1, a_2,\cdots,a_k[/tex] not all zero such that [tex]a_0*0+a_1*v_1+\cdots+a_k*v_k=0[/tex].
Observe that if [tex]a_1=a_2=\cdots=a_k=0[/tex] and [tex]a_0=\lambda\neq 0[/tex] then
[tex]\lambda*0+0*v_1+\cdots+0*v_k=0[/tex].
Then B is linear dependent.
