Preview Activity 3.5.1. Let's consider the following matrix A and its reduced row echelon form. A = 2 -1 2 31 [1 0 0 21 0 2 2 0 1 -2 1 0 0 00 0 2 a. Are the columns of A linearly independent? Is the span of the columns R? b. Give a parametric description of the solution space to the homogeneous equation Ax = 0. c. Explain how this parametric description produces two vectors W1 and w2 whose span is the solution space to the equation Ax = 0. d. What can you say about the linear independence of the set of vectors w1 and W2? e. Let's denote the columns of A as V1, V2, V3, and v4. Explain why v3 can be written as linear combinations of v1 and V2- f. Explain why v and v2 are linearly independent and Span{V1, V2} = Span{V1, V2, V3, V4}. and V4