Definition: A is convex if and only if the segment which unite them .
So, let consider the set of vectors where B is a n x m matrix and is an m-vector : , prove that By is a convex set.
Thanks a lot.
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What did you try?
Originally Posted by girdav What did you try? Ok,the main problem is that considering , I don't know how are. I don't know if you understand me.
Let and in this set. We can write and , where and are such that for all and . Take . Then . What about ?
wow! = which implies that is in By.
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