Hello.

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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- Oct 18th 2011, 09:36 AMLolytaProve that By is a convex set
Hello.

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. - Oct 18th 2011, 10:10 AMgirdavRe: Prove that By is a convex set
What did you try?

- Oct 18th 2011, 10:45 AMLolytaRe: Prove that By is a convex set
- Oct 18th 2011, 10:51 AMgirdavRe: Prove that By is a convex set
Let and in this set. We can write and , where and are such that for all and . Take . Then . What about ?

- Oct 18th 2011, 11:13 AMLolytaRe: Prove that By is a convex set
wow! http://latex.codecogs.com/png.latex?...1-%5Calpha%29y = which implies that http://latex.codecogs.com/png.latex?...1-%5Calpha%29y is in By.

Thank you!!!!(Itwasntme)