D. [ 1 ] , [ 6 ]
[ 3 ] , [ 1 ]
E. [ 8 ]
[ 2 ]
F. [ 0 ] , [ 5 ]
[ 0 ] , [ -7 ]
Attempt At solving:
A. Since the second matrix is a scalar multiple of the first matrix, the must be linearly dependent so that one is out.
B. If you add together matrix one and matrix 2 together, the result is the 3rd vector which is a linear combination of other vectors in the set so therefore must be linearly dependent as well.
C. None of the vectors in this set are deemed a scalar multiple or a linear combination so must be said as linearly independent.
D. Same as the C.
E. I'm not entirely sure on this one, but would it require at least 2 vectors to be considered as linearly independent?