How do I determine this:
Problem:
The vectors: v1, v2, ... , vn, n >= 4 and are linearly independent.
Determine if the following vectors are also linearly independent.
a) the vectors v1 - v2, v2 + v3, v3 + v1
b) the vectors v1 - v2, 2(v2 - v3), 3(v3 - v4), ..., n(vn - v1)
c) the...