5 Consider three vectors v1 = [1, 1, 1], v2 = [a, 1, b], and v3 = [1, a b, 0], where a and b are parameters. Find all conditions on the values of a and b (if any) for which: 1. the number of linearly independent vectors in this collection is 1. 2. the number of linearly independent vectors in this collection is 2. 3. the number of linearly independent vectors in this collection is 3