In: Advanced Math
For each family of vectors, determine wether the vectors are linearly independent or not, and in case they are linearly dependent, find a linear relation between them.
a) x1 = (2, 2, 0), x2 = (0, 2, 2), x3 = (1, 0, 1)
b) x1 = (2, 1, 0), x2 = (0, 1, 0), x3 = (1, 2, 0)
c) x1 = (1, 1, 0, 0), x2 = (0, 1, 1, 0), x3 = (0, 0, 1, 1), x4 = (0, 0, 0, 1)