Thread: question about homework on convexity

http://www.math.ualberta.ca/~xichen/...05w/hw2sol.pdf

can someone tell me why in solution to #9, we can choose the scalars alpha and beta to be such that alpha + beta =1 ?

Originally Posted by squarerootof2

http://www.math.ualberta.ca/~xichen/...05w/hw2sol.pdf

can someone tell me why in solution to #9, we can choose the scalars alpha and beta to be such that alpha + beta =1 ?

For the point to lie in the interval you need (for higher dimensions read line segment rather than interval)

RonL