Please help with question 13

-19 I think.

If I'm wrong, I am sorry. But it should be -19.

Answer with Step-by-step explanation:

We are given that are in and is linearly dependent then {v_1,v_2,v_3,v_4}[/tex] is also linearly dependent.

We have to find that given statement is true or false.

Dependent vectors:Dependent vectors are those vectors in which atleast one vector is  a linear combination of other given vectors.

Or If we have vectors

Then their linear combination

There exist at least one scalar which is not zero.

If are dependent vectors then

for scalars

Then , by definition of dependent  vectors

There exist a vector which is not equal to zero

If vector is a linear combination of , So at least one of vectors in the set is a linear combination of others and the set is linearly dependent.

Hence, by definition of dependent vectors

{} is linearly dependent.

Option B is true.