2. (54 points) Perform the following experiments. (a) (17 points) Use MATLAB to choose randomly three column vectors in R3 The MATLAB commands to choose these vectors are: yl = rand(3,1) y2 = rand(3,1) y3 = rand(3,1) Use the methods of this section(as in the first question) to determine whether these vectors are linearly independent or linearly dependent. (b) (20 points) Now perform this exercise five times and record the number of times a linearly independent set of vectors is chosen and the number of times a linearly dependent set is chosen. (c) (17 points) Repeat the experiment in (b) but this time randomly choose four vectors in R3 to be in your set