Three vectors v,, V2, and va are given. If they are linearly independent, show this; otherwise, find a nontrivial linear combination of them that is equal to the zero vector. - 3 - 1 - 3 - 3 V, = 1 V3...

Extracted text: Three vectors v,, V2, and va are given. If they are linearly independent, show this; otherwise, find a nontrivial linear combination of them that is equal to the zero vector. - 3 - 1 - 3 - 3 V, = 1 V3 = -2 2 2 Select the correct answer below, and fill in the answer box(es) to complete your choice. O A. The vectors are linearly independent. The augmented matrix [v, v, V3 0] has an echelon form E = , which has only the trivial solution. (Type an integer or simplified fraction for each matrix element.) O B. The vectors are linearly dependent, because ()v, + (Ov2 + v3 = 0. (Type integers or fractions.)