2. Linear Independence. In this problem, you are given the following three vectors: 1 3 5 V1 3 V2 2 3 v3 : 3 1 2 6 m where w is a real number. 3.. Find the value of a: so that v3 is in the span of the set {V1,V2}. b. For the value of m which you found in part a of this problem, nd the value of the coefficients c1 and 02 in the linear combination clvl + cgvg that give v3. c. Determine all values of the real number m for which the vectors in the set {v1,v2, v3} are linearly independent. (1. For any value of m which you found in part c of this problem, show that the 3 X 3 matrix whose columns are given by these three vectors is an invertible matrix. (You do not need to nd the inverse, just state why the matrix is invertible using any valid reason from any theorem about when matrices are invertible.)