Answer:
- B. The statement is false. The vector v1 could be the zero vector.
Explanation:
Two vectors and are linearly independent if the equation
where and are scalars, has only one solution:
.
If there is more than one solution, we say that the vector are linearly dependent.
<h3>Why the answer is B. :</h3>
if then, could have any value of the scalar group, as for any scalar
So, we get that there is more than one solution.
So, a particular counterexample is:
as is not an scalar multiple of , and the equation
has as solution
as we can see