Consider the constraints of a canonical problem given by 0 1 2 2 2 4 0i = |4 3 1 20 1 3 2 (i) Show that feasible solutions exist. Find one. (ii) How many linearly independent sets of column vectors are possible? (iii) Find a basic feasible solution (just one is enough).

Consider the constraints of a canonical problem given by 0 1 2 2 2 4 0i = |4 3 1 20 1 3 2 (i) Show that feasible solutions exist. Find one. (ii) How many linearly independent sets of column vectors are possible? (iii) Find a basic feasible solution (just one is enough).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Consider the constraints of a canonical problem given by
[1 0
[3]
1 2
2 2 4 0 i = |4
2 0
3 1
|2
(i) Show that feasible solutions exist. Find one.
(ii) How many linearly independent sets of column vectors are possible?
(iii) Find a basic feasible solution (just one is enough).

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