Topic: Math - Linear Algebra
Focus: Matrices, Linear Independence and Linear Dependence
Consider four vectors v1 = [1,1,1,1], v2 = [-1,0,1,2], v3 =[a,1,0,b], and v4 = [3,2,a+b,0], where a and b are parameters. Findall conditions on the values of a and b (if any) for which:
1. The number of linearly independent vectors in this collectionis 1.
2. The number of linearly independent vectors in this collectionis 2.
3. The number of linearly independent vectors in this collectionis 3.
4. The number of linearly independent vectors in this collectionis 4.
