a) Is the set of vectors {(1,2,3), (3,4,1),(2,3,2)} linearly independent? Give reasons for the answer.
6 4 1 5 14
8 9 2 7 16
4 3 6 2 5
6 10 15 4
b) Find an initial basic feasible solution to the following transportation problem by the North-West corner method. Verify whether your solution is optimal.
a)
The vectors are linearly dependent.
b)
Optimal solution:
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