NPTEL Assignment Question

Question

Check whether the following set of vectors are linearly dependent or independent.

(a) S = {(1, 2, −2, −1),(2, 1, −1, 4),(−3, 0, 3, −2)}

(b) S = {(1, 3, −2, 5, 4),(1, 4, 1, 3, 5),(1, 4, 2, 4, 3),(2, 7, −3, 6, 13)}