Linear Algebra (Linear Programming) Feasible solutions and extreme points.

Roni1985
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Homework Statement



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(c) Find a feasible solution that is not basic.
(d) Find a feasible solution that is not an extreme point: justify your
answer by using the definition of extreme point.


Homework Equations





The Attempt at a Solution



The whole question is not that important because it's kind of a general question.
aren't they the same questions?
if a solution is feasible and not basic, it's a feasible solution that is not an extreme point.
Isn't it always true?
 
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Your textbook should have definitions for all of these terms. If you still are not sure, post the definitions and we'll see if we can sort this out.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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