C. Is Så 5. Let V = R2 and let S be the set of vectors {[:[}} S = {v1,V2} %3D -3 Is S is linearly independent? Explain why or why not. Does S span R2? Explain why or why not. Is Sa basis for R2? Explain why or why not. Let V = R? and let S be the set of vectors a. b. C.

Express the indicated vector w as a linear combination of the given vectors v₁ and v₂ if this is possible. If not, show that it is impossible. W = 1 0 7 7 8 -6 LO 5 9 V₂ = 4 4 -3 6 Select the correct answer below, and fill in the answer box(es) to complete your choice. OA. It is impossible to express the vector w in terms of v₁ and v₂, because an echelon form of the augmented matrix [V₁ V₂ W], E (Type an integer or simplified fraction for each matrix element.) OB. It is possible to express the vector w in terms of v₁ and v₂, as w= O V₁ + (Type integers or fractions.) ... V2. shows that the system is inconsistent.

The question is in the attached picture

Express the given vector in terms of the unit vectors i, j, and k. (14, 0, 4)