Quote:
Originally Posted by blunderboy
I remember in lecture 7, professor used a property
For any d+2 points, we can write
Xj as linear combination of rest of the points.
Q1. What is the proof for this property ?
Let us take an example: d = 1 and points are (5,10,7)
Q2. How do we write 7 in terms of 5 and 10 ?

Take a look at
http://en.wikipedia.org/wiki/Linear_independence
For
, the vectors are twodimensional (
) because of the zeroth coordinate, but to answer your specific question,
has many solutions, for instance,
and
.