A 2 (a) Let V be a K-vector space, M = (v1,v2,,vn} C V, and L C M. Prove

on the basis of contraposition: If M is linearly independent, then L is also linearly independent.

(b) Do the following vectors form a basis of the Z11 vector space ZR1?

5

---0--0--0-0

8

V3 =

8, = 9

2

3

V1 =

3

3

5

(2 + 2 Points)