(1)Find real numbers
(2)Find real numbers
.
The first problem is easier than the second one. If somebody posts the elaborate correct solution for the second one, I will be very appreciate!
for the first problem, we can consider it as Projection:
find the distance of a point and a given subspace in Hilbert space.
we can do it by using the Projection Theorem in Hilbert space.
for the second problem, Since is not a hilbert space, we can't apply the theorem.
Is There any other way to solve it?
auguement on a,b,c?